On Topologized Fundamental Group and covering spaces of topological groups

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.

References in corpus (2)

• Topological and uniform structures on universal covering spaces
• On the Spanier Groups and Covering and Semicovering Spaces

Cited by in corpus (1)

• On Generalized Covering Groups of Topological Groups