Title : ( A Generalization of Covering Maps with respect to a Neighborhood Family of Subgroups of the Fundamental Group )
Authors: Naghme Shahami , Behrooz Mashayekhy Fard ,
Full TextAbstract
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
@inproceedings{paperid:1099680,
author = {Shahami, Naghme and Mashayekhy Fard, Behrooz},
title = {A Generalization of Covering Maps with respect to a Neighborhood Family of Subgroups of the Fundamental Group},
booktitle = {پنجاه و پنجمین کنفرانس ریاضی ایران},
year = {2024},
location = {مشهد, IRAN},
keywords = {Covering map; Semicovering map; Generalized covering map; Neighbourhood family of subgroups},
}
%0 Conference Proceedings
%T A Generalization of Covering Maps with respect to a Neighborhood Family of Subgroups of the Fundamental Group
%A Shahami, Naghme
%A Mashayekhy Fard, Behrooz
%J پنجاه و پنجمین کنفرانس ریاضی ایران
%D 2024
