On Topologized Fundamental Group and covering spaces of topological groups

Hamid Torabi

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arXiv · 1803.00741

On Topologized Fundamental Group and covering spaces of topological groups

Hamid Torabi

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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.

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Hamid Torabi. 2018-03-02. On Topologized Fundamental Group and covering spaces of topological groups. https://arxiv.org/abs/1803.00741

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