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 ,File:
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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.