Group Actions and Covering Maps in the Uniform Category

Details Group Actions and Covering Maps in the Uniform Category Group Actions and Covering Maps in the Uniform Category

2008-02-28

arxiv.org/abs/0802.4304v1

Topology and its Applications 157 (2010) 2593-2603

Mathematics

General Topology

16 pages

Scientific paper

In Rips Complexes and Covers in the Uniform Category (arXiv:0706.3937) we define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. In this paper we investigate when these covering maps are induced by group actions. Also, as an application of our results we present an exposition of Prajs' homogeneous curve that is path-connected but not locally connected.

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