%A Carf`ı, David
%D 2018
%T Filters and limits in filtered spaces
%K
%X 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; Loc al boundness; Complements; Limits and convergence of filtered bases; Limit of composition.
%U https://journals.aserspublishing.eu/jmef/article/view/1736
%J Journal of Mathematical Economics and Finance
%0 Journal Article
%R 10.14505/jmef.v3.2(5).03
%P 33-82%V 3
%N 2(5)
%@ 2458-0813
%8 2018-02-06