• Corpus ID: 118558800

# TOPOLOGICAL AND UNIFORM STRUCTURES ON UNIVERSAL COVERING SPACES

@article{Brodskiy2012TOPOLOGICALAU,
title={TOPOLOGICAL AND UNIFORM STRUCTURES ON UNIVERSAL COVERING SPACES},
author={N. Brodskiy and Jerzy Dydak and B. Labuz and A. Mitra},
journal={arXiv: Algebraic Topology},
year={2012}
}
We discuss various uniform structures and topologies on the uni- versal covering space e X and on the fundamental group �1(X, x0). We intro- duce a canonical uniform structure CU(X) on a topological space X and use it to relate topologies on e X and uniform structures on ^ CU(X). Using our concept of universal Peano space we show connections between the topology introduced by Spanier (30) and a uniform structure of Berestovskii and Plaut (2). We give a sufficient and necessary condition…
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