Filters and limits in filtered spaces
Abstract
In this lecture notes, we study filters and limits in a feasible sufficiently general way for many applications to Physics, Economics and Social Science. In particular we analyze:
- Filters;
- Filter bases;
- Basic example in topological spaces;
- Basic examples in preordered spaces;
- Filtered spaces;
- Induced filter bases;
- Examples in topological spaces;
- Examples on the real line;
- Limits;
- Limits with respect to filter bases;
- Limits with respect to filter bases on subspaces;
- Limits and topology;
- Limits of functions on topological spaces;
- Limits of functions on a topological subspace;
- Some basic theorems for topology;
- Unicity of the limit in Hausdor spaces;
- Limits and functionals;
- Limits for real functional;
- Limits and operations;
- Local boundness;
- Complements;
- Limits and convergence of filtered bases;
- Limit of composition.
References
Agreste, S., D. Carfì, and A. Ricciardello (2012). An algorithm for payoff space in C1 parametric games. Applied Sciences 14, 1-14. http://www.mathem.pub.ro/apps/v14/A14-ag.pdf
Arthanari, T., D. Carfì, and F. Musolino (2015). Game Theoretic Modeling of Horizontal Supply Chain Coopetition among Growers. International Game Theory Review 17 (2). https://dx.doi.org/10.1142/S0219198915400137
Baglieri, D., D. Carfì, and G. Dagnino (2012). Asymmetric R&D Alliances and Coopetitive Games. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence, Part IV (14th International Conference on Information
Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 607-621. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_64
Baglieri, D., D. Carfì, and G. Dagnino (2015). A Coopetitive Game Model for Asymmetric R&D Alliances within a generalized “Reverse Deal”. In G. Centorrino (Ed.), Economia e Territorio, pp. 15-47. Aracne editrice. http://www.aracneeditrice.it/aracneweb/index.php/pubblicazione.html?item=9788854891067&tab=indice
Baglieri, D., D. Carfì, and G. B. Dagnino (2016). Asymmetric R&D Alliances in the Biopharmaceutical Industry. International Studies of Management and Organization 46 (2(3)), 179-201. https://dx.doi.org/10.1080/00208825.2016.1112154
Carfì, D. (2001a). S-Ultralinear Algebra in the space of tempered distributions. AAPP | Physical, Mathematical, and Natural Sciences 78-79 (1), 105-130. http://cab.unime.it/mus/664/
Carfì, D. (2001b). SL-ultradifferentiable Manifolds. Analele Universitatii Bucuresti - Seria Informatica 50, 21-31. Proceedings of the Centellian of Vranceanu. Available as Researchgate Pa-
per at https://www.researchgate.net/publication/210189123_SL-ultradifferentiable_Manifolds
Carfì, D. (2001c). On some second order properties of torse forming vector fields. Differential Geometry - Dynamical Systems 3 (2), 7-12. http://www.mathem.pub.ro/dgds/v03n2/D03-2-CARF.pdf
Carfì, D. (2002). On some Types of Vector Fields on Manifolds with Levi-Civita structure. AAPP | Physical, Mathematical, and Natural Sciences 80 (1), 67-73. http://cab.unime.it/mus/628/
Carfì, D. (2003a). Dirac-orthogonality in the space of tempered distributions. Journal of Computational and Applied Mathematics 153 (1-2), 99-107. 6th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Elsevier. http://dx.doi.org/10.1016/S0377-0427(02)00634-9
Carfì, D. (2003b). S-ultralinear operators in Quantum Mechanics. In M. Moreau, E. Hideg, K. Martin_as, and D. Meyer (Eds.), Complex systems in natural and social sciences. (Proceedings of the 7th Workshop on Complex Systems in Natural and Social Sciences, Matrafured, Hungary,
September 26-29, 2002), pp. 33-46. ELFT, Budapest. http://www.oszk.hu/mnbwww/K/0723/S.HTML#010 Also available as Researchgate Paper at
https://dx.doi.org/10.13140/RG.2.1.2609.0965
Carfì, D. (2004a). S-linear operators in quantum Mechanics and in Economics. Applied Sciences (APPS) 6 (1), 7-20. http://www.mathem.pub.ro/apps/v06/A06.htm
Carfì, D. (2004b). Tangent spaces on S-manifolds. Differential Geometry Dynamical Systems 6, 1-13. http://www.mathem.pub.ro/dgds/v06/D06-CAR3.pdf
Carfì, D. (2005a). S-diagonalizable operators in Quantum Mechanics. Glasnik Mathematicki 40 (2), 261-301. http://dx.doi.org/10.3336/gm.40.2.08
Carfì, D. (2005b). Quantum statistical systems with a continuous range of states. In M. Primicerio, R. Spigler, and V. Valente (Eds.), Applied and Industrial Mathematics in Italy (Proceedings of the 7th Conference,Venice, Italy, 20 24 September 2004), Volume 69 of Series on Advances in Mathematics for Applied Sciences, pp. 189-200. World Scientific. http://dx.doi.org/10.1142/9789812701817_0018
Carfì, D. (2006a). An S-Linear State Preference Model. In Communications to SIMAI, Volume 1, pp. 1-4. https://dx.doi.org/10.1685/CSC06037 Also available, in extended version, as Researchgate Paper at https://dx.doi.org/10.13140/RG.2.1.1006.2800
Carfì, D. (2006b). S-convexity in the space of Schwartz distributions and applications. Rendiconti del Circolo Matematico di Palermo 77 (series II), 107-122. Available as Researchgate Paper at
https://www.researchgate.net/publication/210189098_S-convexity_in_the_space_of_Schwartz_distributions_and_applications
Carfì, D. (2007a). Dyson formulas for Financial and Physical evolutions in S0n. Communications to SIMAI Congress 2, 1-10. https://dx.doi.org/10.1685/CSC06156
Carfì, D. (2007b). Feynman's transition amplitudes in the space S0n. AAPP | Physical, Mathematical, and Natural Sciences 85 (1), 1-10. http://dx.doi.org/10.1478/C1A0701007
Carfì, D. (2007c). S-Linear Algebra in Economics and Physics. Applied Sciences (APPS) 9, 48-66. http://www.mathem.pub.ro/apps/v09/A09-CA.pdf
Carfì, D. (2007d). Topological characterizations of S-linearity. AAPP | Physical, Mathematical, and Natural Sciences 85 (2), 1-16. http://dx.doi.org/10.1478/C1A0702005
Carfì, D. (2008a). Optimal boundaries for decisions. AAPP | Physical, Mathematical, and Natural Sciences 86 (1), 1-11. https://dx.doi.org/10.1478/C1A0801002
Carfì, D. (2008b). Structures on the space of financial events. AAPP | Physical, Mathematical, and Natural Sciences 86 (2), 1-13. https://dx.doi.org/10.1478/C1A0802007
Carfì, D. (2008c). Superpositions in Prigogine's approach to irreversibility for physical and financial applications. AAPP | Physical, Mathematical, and Natural Sciences 86 (S1), 1-13. https://dx.doi.org/10.1478/C1S0801005
Carfì, D. (2009a). Fibrations of financial events. Proceedings of the International Geometry Center - International Conference “Geometry in Odessa 2009”, 25-30 May 2009, Odessa, Ukraine 2 (3), 7-18. Available as MPRA Paper at http://mpra.ub.uni-muenchen.de/31307/
Carfì, D. (2009b). Payoff space in C1 Games. Applied Sciences(APPS) 11, 35-47. http://www.mathem.pub.ro/apps/v11/A11-ca.pdf
Carfì, D. (2010a). Decision-Form Games. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.1320.3927
Carfì, D. (2010b). Foundations of Superposition Theory, Volume 1. Il Gabbiano. ISBN: 978-88-96293-11-9. https://dx.doi.org/10.13140/RG.2.1.3352.2642
Carfì, D. (2010c). The pointwise Hellmann-Feynman theorem. AAPP | Physical, Mathematical, and Natural Sciences 88 (1), 1-14. http://dx.doi.org/10.1478/C1A1001004
Carfì, D. (2010d). Topics in Game Theory. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.4203.9766
Carfì, D. (2011). Financial Lie groups. In Proceedings of the International Conference RIGA 2011. Bucharest University, Bucharest. Also available as Researchgate Paper pp. 1-18, at https://dx.doi.org/10.13140/RG.2.1.1086.0561
Carfì, D. (2012). Coopetitive games and applications. In R. Mishra, S. Deman, M. Salunkhe, S. Rao, and J. Raveendran (Eds.), Advances and Applications in Game Theory – International Conference in honor of prof. Rao, pp. 128-147. J. Macmillan, India. Available as Researchgate Paper at https://dx.doi.org/10.13140/RG.2.1.3526.6005
Carfì, D. (2014). Quantum Mechanics and Dirac Calculus in Schwartz Distribution Spaces, vol. 1. Superpositions in Distribution Spaces, Postulates of Quantum Mechanics in S0n, Schwartz Linear Algebra, S-Representation in Quantum Mechanics, Dirac Orthogonality, S-Linear Quantum Statistics. Il Gabbiano. https://dx.doi.org/10.13140/2.1.4959.1360
Carfì, D. (2015). A model for coopetitive games. Journal of Mathematical Economics and Finance 1 (1), 46-75. http://journals.aserspublishing.eu/jmef/article/view/585
Carfì, D. (2016a). Differential Geometry and Relativity Theories: tangent vectors, derivatives, paths, 1-forms. Journal of Mathematical Economics and Finance 2 (1(2)), 85-127. http://journals.aserspublishing.eu/jmef/article/view/590
Carfì, D. (2016b). Differential Geometry and Relativity Theories. Vol.1. Tangent vectors, tangent maps, paths, 1-forms. Il Gabbiano. ISBN: 978-88-96293-22-5.
Carfì, D. (2016c). Motivations and origins of Schwartz Linear Algebra in Quantum Mechanics. Journal of Mathematical Economics and Finance 2 (2(3)), 67-76. http://journals.aserspublishing.eu/jmef/article/view/923
Carfì, D. (2017a). A game Pareto complete analysis in n-dimensions: a general applicative study case. Journal of Mathematical Economics and Finance 3 (1(4)), 23-46. http://journals.aserspublishing.eu/jmef/article/view/1354
Carfì, D. (2017b). Differential Geometry and Relativity Theories vol 1. –Tangent vectors, derivatives, paths, 1-forms, vector fields. Lambert Academic Publishing. ISBN: 978-3-330-02885-2. https://www.lap-publishing.com/catalog/details/store/tr/book/978-3-330-02885-2/differential-geometry-and-relativity-theories-vol-1?search=978-3-330-02885-2
Carfì, D. and M. Campbell (2015). Bounded Rational Speculative and Hedging Interaction Model in Oil and U.S. Dollar Markets. Journal of Mathematical Economics and Finance 1 (1), 4-28. http://journals.aserspublishing.eu/jmef/article/view/582
Carfì, D. and M. Campbell (2018). Speculative and Hedging Interaction Model in Oil and U.S. Dollar Markets - Phase Transition. Journal of Statistical Physics 170 (1), 165-205. https://link.springer.com/article/10.1007/s10955-017-1915-7
Carfì, D., M. Campbell, and A. Donato (2016). Partial selling in a coopetitive Alliance within Pharmaceutical industry: a complete study case. In G. Centorrino (Ed.), Economia e Territorio: prospettive di analisi. Aracne editrice.
Carfì, D., A. Caterino, and R. Ceppitelli (2016). State preference models and jointly continuous utilities. In APLIMAT 2016 - 15th Conference on Applied Mathematics 2016, Proceedings, Volume 1, pp. 163-176. Slovak University of Technology in Bratislava. http://www.proceedings.com/29878.html
Carfì, D. and K. Cvetko-Vah (2011). Skew lattice structures on the financial events plane. Applied Sciences 13, 9-20. http://www.mathem.pub.ro/apps/v13/A13-ca.pdf
Carfì, D. and A. Donato (2016a). A critical analytic survey of an Asymmetric R&D Alliance in Pharmaceutical industry: bi-parametric study case. Journal of Mathematical Economics and Finance 2 (1(2)), 21-57. http://journals.aserspublishing.eu/jmef/article/view/587
Carfì, D. and A. Donato (2016b). Complete study of a coopetitive R&D Alliance. Journal of Mathematical Economics and Finance 2 (2(3)), 35-66. http://journals.aserspublishing.eu/jmef/article/view/922
Carfì, D., A. Donato, and G. Gambarelli (2017). Kalai-Smorodinsky Balance for N-tuples of Interfering Elements. In N. e. a. Nguyen (Ed.), Transactions on Computational Collective Intelligence XXVII, Volume 10480 of Lecture Notes on Computational Science, pp. 1-27. Springer International Publishing AG. https://doi.org/10.1007/978-3-319-70647-4_1
Carfì, D., A. Donato, and D. Panuccio (2017a). A Game Theory Coopetitive Perspective for Sustainability of Global Feeding: Agreements Among Vegan and Non-Vegan Food Firms. In A. J. Vasile and D. Nicol_o (Eds.), Sustainable Entrepreneurship and Investments in the Green Economy, Book Series on Advances in Business Strategy and Competitive Advantage (ABSCA), pp. 100-143. IGI Global. https://dx.doi.org/10.4018/978-1-5225-2075-7.ch004
Carfì, D., A. Donato, and D. Panuccio (2017b). A Game Theory Coopetitive Perspective for Sustainability of Global Feeding: Agreements Among Vegan and Non-Vegan Food Firms. In R. M. Association (Ed.), Game Theory: Breakthroughs in Research and Practice, Book Series on Advances in Business Strategy and Competitive Advantage (ABSCA), pp. 71-104. IGI Global.
https://dx.doi.org/10.4018/978-1-5225-2594-3.ch004
Carfì, D. and C. Fici (2012). The government-taxpayer game. Theoretical and Practical Research in Economic Fields 3 (1(5)), 13-25. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and C. Germanà (2002). Principles of Ultralinear Algebra: an article collection. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.2832.3603
Carfì, D. and C. Germanà (2003). Some properties of a new product in S0n. Journal of Computational and Applied Mathematics 153 (1-2), 109-118. 6th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Elsevier. http://dx.doi.org/10.1016/S0377-0427(02)00635-0
Carfì, D. and M. Magaudda (2007). Superpositions in Distributions spaces. AAPP | Physical, Mathematical, and Natural Sciences 85 (2), 1-14. http://dx.doi.org/10.1478/C1A0702006
Carfì, D., M. Magaudda, and D. Schilirò (2010). Coopetitive game solutions for the eurozone economy. In Quaderni di Economia ed Analisi del Territorio, Quaderno n. 55/2010, pp. 1-21. Il Gabbiano. Available as MPRA Paper at http://mpra.ub.uni-muenchen.de/26541/
Carfì, D. and F. Musolino (2011). Fair Redistribution in Financial Markets: a Game Theory Complete Analysis. Journal of Advanced Studies in Finance 2 (2(4)), 74-100. http://journals.aserspublishing.eu/jasf/article/view/47
Carfì, D. and F. Musolino (2012a). A Coopetitive Approach to Financial Markets Stabilization and Risk Management. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence, Part IV (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 578-592. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_62
Carfì, D. and F. Musolino (2012b). Game theory and speculation on government bonds. Economic Modelling 29 (6), 2417-2426. https://dx.doi.org/10.1016/j.econmod.2012.06.037
Carfì, D. and F. Musolino (2013a). Credit Crunch in the Euro Area: A Coopetitive Multi-agent Solution. In A. G. S. Ventre, A. Maturo, and J. Kacprzyk (Eds.), Multicriteria and Multiagent DecisionMaking with Applications to Economics and Social Sciences, Volume 305 of Studies in Fuzziness and Soft Computing, pp. 27-48. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-35635-3_3
Carfì, D. and F. Musolino (2013b). Game theory application of Monti's proposal for European government bonds stabilization. Applied Sciences 15, 43-70. http://www.mathem.pub.ro/apps/v15/A15-ca.pdf
Carfì, D. and F. Musolino (2013c). Model of Possible Cooperation in Financial Markets in presence of tax on Speculative Transactions. AAPP | Physical, Mathematical, and Natural Sciences 91 (1), 1-26. https://dx.doi.org/10.1478/AAPP.911A3
Carfì, D. and F. Musolino (2014a). Dynamical Stabilization of Currency Market with Fractal-like Trajectories. Scientific Bulletin of the Politehnica University of Bucharest 76 (4), 115-126. http://www.scientificbulletin.upb.ro/rev_docs_arhiva/rezc3a_239636.pdf
Carfì, D. and F. Musolino (2014b). Speculative and hedging interaction model in oil and U.S. dollar markets with _nancial transaction taxes. Economic Modelling 37 (0), 306-319. https://dx.doi.org/10.1016/j.econmod.2013.11.003
Carfì, D. and F. Musolino (2015a). A coopetitive-dynamical game model for currency markets stabilization. AAPP | Physical, Mathematical, and Natural Sciences 93 (1), 1{29. https://dx.doi.org/10.1478/AAPP.931C1
Carfì, D. and F. Musolino (2015b). Tax Evasion: A Game Countermeasure. AAPP | Physical, Mathematical, and Natural Sciences 93 (1), 1-17. https://dx.doi.org/10.1478/AAPP.931C2
Carfì, D. and E. Perrone (2011). Game Complete Analysis of Bertrand Duopoly. Theoretical and Practical Research in Economic Fields 2 (1(3)), 5-22. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and E. Perrone (2013). Asymmetric Cournot Duopoly: A Game Complete Analysis. Journal of Reviews on Global Economics 2, 194-202. https://dx.doi.org/10.6000/1929-7092.2013.02.16
Carfì, D. and A. Pintaudi (2012). Optimal Participation in Illegitimate Market Activities: Complete Analysis of 2-Dimensional Cases. Journal of Advanced Research in Law and Economics 3 (1(5)), 10-25. http://www.asers.eu/journals/jarle/jarle-past-issues.html
Carfì, D. and A. Ricciardello (2009). Non-reactive strategies in decision-form games. AAPP | Physical, Mathematical, and Natural Sciences 87 (2), 1-12. https://dx.doi.org/10.1478/C1A0902002
Carfì, D. and A. Ricciardello (2010). An algorithm for payo_ space in C1- Games. AAPP | Physical, Mathematical, and Natural Sciences 88 (1), 1-19. https://dx.doi.org/10.1478/C1A1001003
Carfì, D. and A. Ricciardello (2011). Topics in Game Theory. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.2368.9685
Carfì, D. and A. Ricciardello (2012a). Algorithms for Payoff Trajectories in C1 Parametric Games. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. R. Yager (Eds.), Advances in Computational Intelligence (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 642-654. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_67
Carfì, D. and A. Ricciardello (2012b). Topics in Game Theory. Applied Sciences - Monographs 9, Balkan Society of Geometers. http://www.mathem.pub.ro/apps/mono/A-09-Car.pdf
Carfì, D. and A. Ricciardello (2013). An Algorithm for Dynamical Games with Fractal-Like Trajectories. In D. Carfì, M. Lapidus, E. Pearse, and M. Van Frankenhuijsen (Eds.), Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics. (PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical
Systems and Economics, Messina, Italy, November 8-12, 2011 - AMS Special Session on Fractal Geometry in Pure and Applied Mathematics: in memory of Mandelbrot, Boston, Massachusetts, January 4-7, 2012 - AMS Special Session on Geometry and Analysis on Fractal Spaces, Honolulu, Hawaii, March 3-4, 2012), Volume 601 of Contemporary Mathematics, pp. 95-112.
American Mathematical Society. https://dx.doi.org/10.1090/conm/601/11961
Carfì, D. and A. Romeo (2015). Improving Welfare in Congo: Italian National Hydrocarbons Authority Strategies and its Possible Coopetitive Alliances with Green Energy Producers. Journal of Applied Economic Sciences 10 (4(34)), 571-592. http://cesmaa.eu/journals/jaes/files/JAES_summer%204(34)_online.pdf
Carfì, D. and D. Schilirò (2011). Crisis in the Euro Area. Coopetitive Game Solutions as New Policy Tools. Theoretical and Practical Research in Economic Fields 2 (1(3)), 23-36. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and D. Schilirò (2012a). A Framework of coopetitive games: Applications to the Greek crisis. AAPP | Physical, Mathematical, and Natural Sciences 90 (1), 1-32. https://dx.doi.org/10.1478/AAPP.901A1
Carfì, D. and D. Schilirò (2012b). A Model of Coopetitive Game for the Environmental Sustainability of a Global Green Economy. Journal of Environmental Management and Tourism 3 (1(5)), 5-17. http://journals.aserspublishing.eu/jemt/article/view/378
Carfì, D. and D. Schilirò (2012c). A coopetitive model for the green economy. Economic Modelling 29 (4), 1215-1219. https://dx.doi.org/10.1016/j.econmod.2012.04.005
Carfì, D. and D. Schilirò (2012d). Global Green Economy and Environmental Sustainability: A Coopetitive Model. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 593-606. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_63
Carfì, D. and D. Schilirò (2014). Improving Competitiveness and Trade Balance Of Greek Economy: A Coopetitive Strategy Model. Journal of Applied Economic Sciences 9 (2(28)), 211-220. http://www.ceeol.com/aspx/issuedetails.aspx?issueid=583d6083-2bbf-4d8c-af1f-3b5786c6e087&articleId=8c9be4cb-86d9-43f1-b555-58b8cb28bbeb
Donato, A. (2017). A multilinear interaction model: algorithms for Kalai-Smorodinsky solution. Journal of Mathematical Economics and Finance 3 (1(4)), 47-74. http://journals.aserspublishing.eu/jmef/article/view/1355
Okura, M. and D. Carfì (2014). Coopetition and Game Theory. Journal of Applied Economic Sciences 9 (3(29)), 458{469. http://cesmaa.eu/journals/jaes/files/JAES_2014_Fall.pdf#page=123
Arthanari, T., D. Carfì, and F. Musolino (2015). Game Theoretic Modeling of Horizontal Supply Chain Coopetition among Growers. International Game Theory Review 17 (2). https://dx.doi.org/10.1142/S0219198915400137
Baglieri, D., D. Carfì, and G. Dagnino (2012). Asymmetric R&D Alliances and Coopetitive Games. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence, Part IV (14th International Conference on Information
Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 607-621. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_64
Baglieri, D., D. Carfì, and G. Dagnino (2015). A Coopetitive Game Model for Asymmetric R&D Alliances within a generalized “Reverse Deal”. In G. Centorrino (Ed.), Economia e Territorio, pp. 15-47. Aracne editrice. http://www.aracneeditrice.it/aracneweb/index.php/pubblicazione.html?item=9788854891067&tab=indice
Baglieri, D., D. Carfì, and G. B. Dagnino (2016). Asymmetric R&D Alliances in the Biopharmaceutical Industry. International Studies of Management and Organization 46 (2(3)), 179-201. https://dx.doi.org/10.1080/00208825.2016.1112154
Carfì, D. (2001a). S-Ultralinear Algebra in the space of tempered distributions. AAPP | Physical, Mathematical, and Natural Sciences 78-79 (1), 105-130. http://cab.unime.it/mus/664/
Carfì, D. (2001b). SL-ultradifferentiable Manifolds. Analele Universitatii Bucuresti - Seria Informatica 50, 21-31. Proceedings of the Centellian of Vranceanu. Available as Researchgate Pa-
per at https://www.researchgate.net/publication/210189123_SL-ultradifferentiable_Manifolds
Carfì, D. (2001c). On some second order properties of torse forming vector fields. Differential Geometry - Dynamical Systems 3 (2), 7-12. http://www.mathem.pub.ro/dgds/v03n2/D03-2-CARF.pdf
Carfì, D. (2002). On some Types of Vector Fields on Manifolds with Levi-Civita structure. AAPP | Physical, Mathematical, and Natural Sciences 80 (1), 67-73. http://cab.unime.it/mus/628/
Carfì, D. (2003a). Dirac-orthogonality in the space of tempered distributions. Journal of Computational and Applied Mathematics 153 (1-2), 99-107. 6th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Elsevier. http://dx.doi.org/10.1016/S0377-0427(02)00634-9
Carfì, D. (2003b). S-ultralinear operators in Quantum Mechanics. In M. Moreau, E. Hideg, K. Martin_as, and D. Meyer (Eds.), Complex systems in natural and social sciences. (Proceedings of the 7th Workshop on Complex Systems in Natural and Social Sciences, Matrafured, Hungary,
September 26-29, 2002), pp. 33-46. ELFT, Budapest. http://www.oszk.hu/mnbwww/K/0723/S.HTML#010 Also available as Researchgate Paper at
https://dx.doi.org/10.13140/RG.2.1.2609.0965
Carfì, D. (2004a). S-linear operators in quantum Mechanics and in Economics. Applied Sciences (APPS) 6 (1), 7-20. http://www.mathem.pub.ro/apps/v06/A06.htm
Carfì, D. (2004b). Tangent spaces on S-manifolds. Differential Geometry Dynamical Systems 6, 1-13. http://www.mathem.pub.ro/dgds/v06/D06-CAR3.pdf
Carfì, D. (2005a). S-diagonalizable operators in Quantum Mechanics. Glasnik Mathematicki 40 (2), 261-301. http://dx.doi.org/10.3336/gm.40.2.08
Carfì, D. (2005b). Quantum statistical systems with a continuous range of states. In M. Primicerio, R. Spigler, and V. Valente (Eds.), Applied and Industrial Mathematics in Italy (Proceedings of the 7th Conference,Venice, Italy, 20 24 September 2004), Volume 69 of Series on Advances in Mathematics for Applied Sciences, pp. 189-200. World Scientific. http://dx.doi.org/10.1142/9789812701817_0018
Carfì, D. (2006a). An S-Linear State Preference Model. In Communications to SIMAI, Volume 1, pp. 1-4. https://dx.doi.org/10.1685/CSC06037 Also available, in extended version, as Researchgate Paper at https://dx.doi.org/10.13140/RG.2.1.1006.2800
Carfì, D. (2006b). S-convexity in the space of Schwartz distributions and applications. Rendiconti del Circolo Matematico di Palermo 77 (series II), 107-122. Available as Researchgate Paper at
https://www.researchgate.net/publication/210189098_S-convexity_in_the_space_of_Schwartz_distributions_and_applications
Carfì, D. (2007a). Dyson formulas for Financial and Physical evolutions in S0n. Communications to SIMAI Congress 2, 1-10. https://dx.doi.org/10.1685/CSC06156
Carfì, D. (2007b). Feynman's transition amplitudes in the space S0n. AAPP | Physical, Mathematical, and Natural Sciences 85 (1), 1-10. http://dx.doi.org/10.1478/C1A0701007
Carfì, D. (2007c). S-Linear Algebra in Economics and Physics. Applied Sciences (APPS) 9, 48-66. http://www.mathem.pub.ro/apps/v09/A09-CA.pdf
Carfì, D. (2007d). Topological characterizations of S-linearity. AAPP | Physical, Mathematical, and Natural Sciences 85 (2), 1-16. http://dx.doi.org/10.1478/C1A0702005
Carfì, D. (2008a). Optimal boundaries for decisions. AAPP | Physical, Mathematical, and Natural Sciences 86 (1), 1-11. https://dx.doi.org/10.1478/C1A0801002
Carfì, D. (2008b). Structures on the space of financial events. AAPP | Physical, Mathematical, and Natural Sciences 86 (2), 1-13. https://dx.doi.org/10.1478/C1A0802007
Carfì, D. (2008c). Superpositions in Prigogine's approach to irreversibility for physical and financial applications. AAPP | Physical, Mathematical, and Natural Sciences 86 (S1), 1-13. https://dx.doi.org/10.1478/C1S0801005
Carfì, D. (2009a). Fibrations of financial events. Proceedings of the International Geometry Center - International Conference “Geometry in Odessa 2009”, 25-30 May 2009, Odessa, Ukraine 2 (3), 7-18. Available as MPRA Paper at http://mpra.ub.uni-muenchen.de/31307/
Carfì, D. (2009b). Payoff space in C1 Games. Applied Sciences(APPS) 11, 35-47. http://www.mathem.pub.ro/apps/v11/A11-ca.pdf
Carfì, D. (2010a). Decision-Form Games. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.1320.3927
Carfì, D. (2010b). Foundations of Superposition Theory, Volume 1. Il Gabbiano. ISBN: 978-88-96293-11-9. https://dx.doi.org/10.13140/RG.2.1.3352.2642
Carfì, D. (2010c). The pointwise Hellmann-Feynman theorem. AAPP | Physical, Mathematical, and Natural Sciences 88 (1), 1-14. http://dx.doi.org/10.1478/C1A1001004
Carfì, D. (2010d). Topics in Game Theory. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.4203.9766
Carfì, D. (2011). Financial Lie groups. In Proceedings of the International Conference RIGA 2011. Bucharest University, Bucharest. Also available as Researchgate Paper pp. 1-18, at https://dx.doi.org/10.13140/RG.2.1.1086.0561
Carfì, D. (2012). Coopetitive games and applications. In R. Mishra, S. Deman, M. Salunkhe, S. Rao, and J. Raveendran (Eds.), Advances and Applications in Game Theory – International Conference in honor of prof. Rao, pp. 128-147. J. Macmillan, India. Available as Researchgate Paper at https://dx.doi.org/10.13140/RG.2.1.3526.6005
Carfì, D. (2014). Quantum Mechanics and Dirac Calculus in Schwartz Distribution Spaces, vol. 1. Superpositions in Distribution Spaces, Postulates of Quantum Mechanics in S0n, Schwartz Linear Algebra, S-Representation in Quantum Mechanics, Dirac Orthogonality, S-Linear Quantum Statistics. Il Gabbiano. https://dx.doi.org/10.13140/2.1.4959.1360
Carfì, D. (2015). A model for coopetitive games. Journal of Mathematical Economics and Finance 1 (1), 46-75. http://journals.aserspublishing.eu/jmef/article/view/585
Carfì, D. (2016a). Differential Geometry and Relativity Theories: tangent vectors, derivatives, paths, 1-forms. Journal of Mathematical Economics and Finance 2 (1(2)), 85-127. http://journals.aserspublishing.eu/jmef/article/view/590
Carfì, D. (2016b). Differential Geometry and Relativity Theories. Vol.1. Tangent vectors, tangent maps, paths, 1-forms. Il Gabbiano. ISBN: 978-88-96293-22-5.
Carfì, D. (2016c). Motivations and origins of Schwartz Linear Algebra in Quantum Mechanics. Journal of Mathematical Economics and Finance 2 (2(3)), 67-76. http://journals.aserspublishing.eu/jmef/article/view/923
Carfì, D. (2017a). A game Pareto complete analysis in n-dimensions: a general applicative study case. Journal of Mathematical Economics and Finance 3 (1(4)), 23-46. http://journals.aserspublishing.eu/jmef/article/view/1354
Carfì, D. (2017b). Differential Geometry and Relativity Theories vol 1. –Tangent vectors, derivatives, paths, 1-forms, vector fields. Lambert Academic Publishing. ISBN: 978-3-330-02885-2. https://www.lap-publishing.com/catalog/details/store/tr/book/978-3-330-02885-2/differential-geometry-and-relativity-theories-vol-1?search=978-3-330-02885-2
Carfì, D. and M. Campbell (2015). Bounded Rational Speculative and Hedging Interaction Model in Oil and U.S. Dollar Markets. Journal of Mathematical Economics and Finance 1 (1), 4-28. http://journals.aserspublishing.eu/jmef/article/view/582
Carfì, D. and M. Campbell (2018). Speculative and Hedging Interaction Model in Oil and U.S. Dollar Markets - Phase Transition. Journal of Statistical Physics 170 (1), 165-205. https://link.springer.com/article/10.1007/s10955-017-1915-7
Carfì, D., M. Campbell, and A. Donato (2016). Partial selling in a coopetitive Alliance within Pharmaceutical industry: a complete study case. In G. Centorrino (Ed.), Economia e Territorio: prospettive di analisi. Aracne editrice.
Carfì, D., A. Caterino, and R. Ceppitelli (2016). State preference models and jointly continuous utilities. In APLIMAT 2016 - 15th Conference on Applied Mathematics 2016, Proceedings, Volume 1, pp. 163-176. Slovak University of Technology in Bratislava. http://www.proceedings.com/29878.html
Carfì, D. and K. Cvetko-Vah (2011). Skew lattice structures on the financial events plane. Applied Sciences 13, 9-20. http://www.mathem.pub.ro/apps/v13/A13-ca.pdf
Carfì, D. and A. Donato (2016a). A critical analytic survey of an Asymmetric R&D Alliance in Pharmaceutical industry: bi-parametric study case. Journal of Mathematical Economics and Finance 2 (1(2)), 21-57. http://journals.aserspublishing.eu/jmef/article/view/587
Carfì, D. and A. Donato (2016b). Complete study of a coopetitive R&D Alliance. Journal of Mathematical Economics and Finance 2 (2(3)), 35-66. http://journals.aserspublishing.eu/jmef/article/view/922
Carfì, D., A. Donato, and G. Gambarelli (2017). Kalai-Smorodinsky Balance for N-tuples of Interfering Elements. In N. e. a. Nguyen (Ed.), Transactions on Computational Collective Intelligence XXVII, Volume 10480 of Lecture Notes on Computational Science, pp. 1-27. Springer International Publishing AG. https://doi.org/10.1007/978-3-319-70647-4_1
Carfì, D., A. Donato, and D. Panuccio (2017a). A Game Theory Coopetitive Perspective for Sustainability of Global Feeding: Agreements Among Vegan and Non-Vegan Food Firms. In A. J. Vasile and D. Nicol_o (Eds.), Sustainable Entrepreneurship and Investments in the Green Economy, Book Series on Advances in Business Strategy and Competitive Advantage (ABSCA), pp. 100-143. IGI Global. https://dx.doi.org/10.4018/978-1-5225-2075-7.ch004
Carfì, D., A. Donato, and D. Panuccio (2017b). A Game Theory Coopetitive Perspective for Sustainability of Global Feeding: Agreements Among Vegan and Non-Vegan Food Firms. In R. M. Association (Ed.), Game Theory: Breakthroughs in Research and Practice, Book Series on Advances in Business Strategy and Competitive Advantage (ABSCA), pp. 71-104. IGI Global.
https://dx.doi.org/10.4018/978-1-5225-2594-3.ch004
Carfì, D. and C. Fici (2012). The government-taxpayer game. Theoretical and Practical Research in Economic Fields 3 (1(5)), 13-25. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and C. Germanà (2002). Principles of Ultralinear Algebra: an article collection. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.2832.3603
Carfì, D. and C. Germanà (2003). Some properties of a new product in S0n. Journal of Computational and Applied Mathematics 153 (1-2), 109-118. 6th International Symposium on Orthogonal Polynomials, Special Functions and Applications. Elsevier. http://dx.doi.org/10.1016/S0377-0427(02)00635-0
Carfì, D. and M. Magaudda (2007). Superpositions in Distributions spaces. AAPP | Physical, Mathematical, and Natural Sciences 85 (2), 1-14. http://dx.doi.org/10.1478/C1A0702006
Carfì, D., M. Magaudda, and D. Schilirò (2010). Coopetitive game solutions for the eurozone economy. In Quaderni di Economia ed Analisi del Territorio, Quaderno n. 55/2010, pp. 1-21. Il Gabbiano. Available as MPRA Paper at http://mpra.ub.uni-muenchen.de/26541/
Carfì, D. and F. Musolino (2011). Fair Redistribution in Financial Markets: a Game Theory Complete Analysis. Journal of Advanced Studies in Finance 2 (2(4)), 74-100. http://journals.aserspublishing.eu/jasf/article/view/47
Carfì, D. and F. Musolino (2012a). A Coopetitive Approach to Financial Markets Stabilization and Risk Management. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence, Part IV (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 578-592. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_62
Carfì, D. and F. Musolino (2012b). Game theory and speculation on government bonds. Economic Modelling 29 (6), 2417-2426. https://dx.doi.org/10.1016/j.econmod.2012.06.037
Carfì, D. and F. Musolino (2013a). Credit Crunch in the Euro Area: A Coopetitive Multi-agent Solution. In A. G. S. Ventre, A. Maturo, and J. Kacprzyk (Eds.), Multicriteria and Multiagent DecisionMaking with Applications to Economics and Social Sciences, Volume 305 of Studies in Fuzziness and Soft Computing, pp. 27-48. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-35635-3_3
Carfì, D. and F. Musolino (2013b). Game theory application of Monti's proposal for European government bonds stabilization. Applied Sciences 15, 43-70. http://www.mathem.pub.ro/apps/v15/A15-ca.pdf
Carfì, D. and F. Musolino (2013c). Model of Possible Cooperation in Financial Markets in presence of tax on Speculative Transactions. AAPP | Physical, Mathematical, and Natural Sciences 91 (1), 1-26. https://dx.doi.org/10.1478/AAPP.911A3
Carfì, D. and F. Musolino (2014a). Dynamical Stabilization of Currency Market with Fractal-like Trajectories. Scientific Bulletin of the Politehnica University of Bucharest 76 (4), 115-126. http://www.scientificbulletin.upb.ro/rev_docs_arhiva/rezc3a_239636.pdf
Carfì, D. and F. Musolino (2014b). Speculative and hedging interaction model in oil and U.S. dollar markets with _nancial transaction taxes. Economic Modelling 37 (0), 306-319. https://dx.doi.org/10.1016/j.econmod.2013.11.003
Carfì, D. and F. Musolino (2015a). A coopetitive-dynamical game model for currency markets stabilization. AAPP | Physical, Mathematical, and Natural Sciences 93 (1), 1{29. https://dx.doi.org/10.1478/AAPP.931C1
Carfì, D. and F. Musolino (2015b). Tax Evasion: A Game Countermeasure. AAPP | Physical, Mathematical, and Natural Sciences 93 (1), 1-17. https://dx.doi.org/10.1478/AAPP.931C2
Carfì, D. and E. Perrone (2011). Game Complete Analysis of Bertrand Duopoly. Theoretical and Practical Research in Economic Fields 2 (1(3)), 5-22. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and E. Perrone (2013). Asymmetric Cournot Duopoly: A Game Complete Analysis. Journal of Reviews on Global Economics 2, 194-202. https://dx.doi.org/10.6000/1929-7092.2013.02.16
Carfì, D. and A. Pintaudi (2012). Optimal Participation in Illegitimate Market Activities: Complete Analysis of 2-Dimensional Cases. Journal of Advanced Research in Law and Economics 3 (1(5)), 10-25. http://www.asers.eu/journals/jarle/jarle-past-issues.html
Carfì, D. and A. Ricciardello (2009). Non-reactive strategies in decision-form games. AAPP | Physical, Mathematical, and Natural Sciences 87 (2), 1-12. https://dx.doi.org/10.1478/C1A0902002
Carfì, D. and A. Ricciardello (2010). An algorithm for payo_ space in C1- Games. AAPP | Physical, Mathematical, and Natural Sciences 88 (1), 1-19. https://dx.doi.org/10.1478/C1A1001003
Carfì, D. and A. Ricciardello (2011). Topics in Game Theory. Il Gabbiano. https://dx.doi.org/10.13140/RG.2.1.2368.9685
Carfì, D. and A. Ricciardello (2012a). Algorithms for Payoff Trajectories in C1 Parametric Games. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. R. Yager (Eds.), Advances in Computational Intelligence (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 642-654. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_67
Carfì, D. and A. Ricciardello (2012b). Topics in Game Theory. Applied Sciences - Monographs 9, Balkan Society of Geometers. http://www.mathem.pub.ro/apps/mono/A-09-Car.pdf
Carfì, D. and A. Ricciardello (2013). An Algorithm for Dynamical Games with Fractal-Like Trajectories. In D. Carfì, M. Lapidus, E. Pearse, and M. Van Frankenhuijsen (Eds.), Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics. (PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical
Systems and Economics, Messina, Italy, November 8-12, 2011 - AMS Special Session on Fractal Geometry in Pure and Applied Mathematics: in memory of Mandelbrot, Boston, Massachusetts, January 4-7, 2012 - AMS Special Session on Geometry and Analysis on Fractal Spaces, Honolulu, Hawaii, March 3-4, 2012), Volume 601 of Contemporary Mathematics, pp. 95-112.
American Mathematical Society. https://dx.doi.org/10.1090/conm/601/11961
Carfì, D. and A. Romeo (2015). Improving Welfare in Congo: Italian National Hydrocarbons Authority Strategies and its Possible Coopetitive Alliances with Green Energy Producers. Journal of Applied Economic Sciences 10 (4(34)), 571-592. http://cesmaa.eu/journals/jaes/files/JAES_summer%204(34)_online.pdf
Carfì, D. and D. Schilirò (2011). Crisis in the Euro Area. Coopetitive Game Solutions as New Policy Tools. Theoretical and Practical Research in Economic Fields 2 (1(3)), 23-36. http://www.asers.eu/journals/tpref/tpref-past-issues.html
Carfì, D. and D. Schilirò (2012a). A Framework of coopetitive games: Applications to the Greek crisis. AAPP | Physical, Mathematical, and Natural Sciences 90 (1), 1-32. https://dx.doi.org/10.1478/AAPP.901A1
Carfì, D. and D. Schilirò (2012b). A Model of Coopetitive Game for the Environmental Sustainability of a Global Green Economy. Journal of Environmental Management and Tourism 3 (1(5)), 5-17. http://journals.aserspublishing.eu/jemt/article/view/378
Carfì, D. and D. Schilirò (2012c). A coopetitive model for the green economy. Economic Modelling 29 (4), 1215-1219. https://dx.doi.org/10.1016/j.econmod.2012.04.005
Carfì, D. and D. Schilirò (2012d). Global Green Economy and Environmental Sustainability: A Coopetitive Model. In S. Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, and R. Yager (Eds.), Advances in Computational Intelligence (14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012, Proceedings, Part IV), Volume 300 of Communications in Computer and Information Science, pp. 593-606. Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-31724-8_63
Carfì, D. and D. Schilirò (2014). Improving Competitiveness and Trade Balance Of Greek Economy: A Coopetitive Strategy Model. Journal of Applied Economic Sciences 9 (2(28)), 211-220. http://www.ceeol.com/aspx/issuedetails.aspx?issueid=583d6083-2bbf-4d8c-af1f-3b5786c6e087&articleId=8c9be4cb-86d9-43f1-b555-58b8cb28bbeb
Donato, A. (2017). A multilinear interaction model: algorithms for Kalai-Smorodinsky solution. Journal of Mathematical Economics and Finance 3 (1(4)), 47-74. http://journals.aserspublishing.eu/jmef/article/view/1355
Okura, M. and D. Carfì (2014). Coopetition and Game Theory. Journal of Applied Economic Sciences 9 (3(29)), 458{469. http://cesmaa.eu/journals/jaes/files/JAES_2014_Fall.pdf#page=123
Published
2018-02-06
How to Cite
CARF`I, David.
Filters and limits in filtered spaces.
Journal of Mathematical Economics and Finance, [S.l.], v. 3, n. 2(5), p. 33 - 82, feb. 2018.
ISSN 2458-0813.
Available at: <https://journals.aserspublishing.eu/jmef/article/view/1736>. Date accessed: 22 dec. 2024.
doi: https://doi.org/10.14505/jmef.v3.2(5).03.
Section
Articles
The Copyright Transfer Form to ASERS Publishing (The Publisher)
This form refers to the manuscript, which an author(s) was accepted for publication and was signed by all the authors.
The undersigned Author(s) of the above-mentioned Paper here transfer any and all copyright-rights in and to The Paper to The Publisher. The Author(s) warrants that The Paper is based on their original work and that the undersigned has the power and authority to make and execute this assignment. It is the author's responsibility to obtain written permission to quote material that has been previously published in any form. The Publisher recognizes the retained rights noted below and grants to the above authors and employers for whom the work performed royalty-free permission to reuse their materials below. Authors may reuse all or portions of the above Paper in other works, excepting the publication of the paper in the same form. Authors may reproduce or authorize others to reproduce the above Paper for the Author's personal use or for internal company use, provided that the source and The Publisher copyright notice are mentioned, that the copies are not used in any way that implies The Publisher endorsement of a product or service of an employer, and that the copies are not offered for sale as such. Authors are permitted to grant third party requests for reprinting, republishing or other types of reuse. The Authors may make limited distribution of all or portions of the above Paper prior to publication if they inform The Publisher of the nature and extent of such limited distribution prior there to. Authors retain all proprietary rights in any process, procedure, or article of manufacture described in The Paper. This agreement becomes null and void if and only if the above paper is not accepted and published by The Publisher, or is with drawn by the author(s) before acceptance by the Publisher.