On Topologized Fundamental Group and covering spaces of topological groups
Algebraic Topology
2018-03-05 v1
Abstract
In this paper, we show that every topological group is a strong small loop transfer space at the identity element. This implies that the quasitopological fundamental group of a connected locally path connected topological group is a topological group. Also, we show that every covering space of a connected locally path connected topological group is a topological group and its covering map is homomorphism.
Keywords
Cite
@article{arxiv.1803.00741,
title = {On Topologized Fundamental Group and covering spaces of topological groups},
author = {Hamid Torabi},
journal= {arXiv preprint arXiv:1803.00741},
year = {2018}
}