پنجاه و پنجمین کنفرانس ریاضی ایران , 2024-08-14

Title : ( A Generalization of Covering Maps with respect to a Neighborhood Family of Subgroups of the Fundamental Group )

Authors: Naghme Shahami , Behrooz Mashayekhy Fard ,

Citation: BibTeX | EndNote

Abstract

‎In this talk‎, ‎we define a generalized covering map for a topological space $X$ with respect to a neighbourhood family of subgroups of the fundamental group $\\\\\\\\\\\\\\\\pi_1(X,x_0)$‎. ‎By considering some famous subgroups of the fundamental group $\\\\\\\\\\\\\\\\pi_1(X,x_0)$ as neighbourhood families‎, ‎we compare these generalized covering maps with each other according to their neighbourhood families‎. ‎In particular‎, ‎we compare these generalized covering maps with the most famous notion‎, ‎coverings‎, ‎semicoverings and generalized coverings‎.

Keywords

, Covering map‎, ‎Semicovering map‎, ‎Generalized covering map‎, ‎Neighbourhood family of subgroups