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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