On Subgroups of Topologized Fundamental Groups and Generalized Coverings
Algebraic Topology
2016-02-26 v1
Abstract
In this paper, we are interested in study subgroups of topologized fundamental groups and their influences on generalized covering maps. More precisely, we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology. Moreover, we present some conditions under which generalized coverings, semicoverings and coverings are equal.
Keywords
Cite
@article{arxiv.1602.07965,
title = {On Subgroups of Topologized Fundamental Groups and Generalized Coverings},
author = {Mehdi Abdullahi Rashid and Behrooz Mashayekhy and Hamid Torabi and Seyyed Zeynal Pashaei},
journal= {arXiv preprint arXiv:1602.07965},
year = {2016}
}
Comments
21 pages