Group Actions and Covering Maps in the Uniform Category
General Topology
2010-09-30 v1 Metric Geometry
Abstract
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.
Cite
@article{arxiv.0802.4304,
title = {Group Actions and Covering Maps in the Uniform Category},
author = {N. Brodskiy and J. Dydak and B. Labuz and A. Mitra},
journal= {arXiv preprint arXiv:0802.4304},
year = {2010}
}
Comments
16 pages