TY - JOUR
AU - Carf`ı, David
PY - 2018
TI - Filters and limits in filtered spaces
JF - Journal of Mathematical Economics and Finance; Vol 3 No 2(5) (2017): JMEF Volume III, Issue 2(5), Winter 2017
DO - 10.14505/jmef.v3.2(5).03
KW -
N2 - 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.
UR - https://journals.aserspublishing.eu/jmef/article/view/1736