Illustrating an error in "An equivalent condition for a uniform space to be coverable"

Details Illustrating an error in "An equivalent condition for a uniform space to be coverable" Illustrating an error in "An equivalent condition for a uniform space to be coverable"

2009-01-16

arxiv.org/abs/0901.2565v2

Mathematics

Geometric Topology

5 pages. Section 3 was removed. It is unnecessary and possibly incorrect

Scientific paper

Berestovskii and Plaut introduced the concept of a coverable space when developing their theory of generalized universal covering maps for uniform spaces. If a space is coverable and chain connected then it has a generalized universal covering map. Brodskiy, Dydak, LaBuz, and Mitra introduced the concept of a uniformly joinable space when developing a theory of generalized uniform covering maps. It is easy to see that a chain connected coverable space is uniformly joinable. This paper discusses the attempt in Plaut's "An equivalent condition for a uniform space to be coverable" to prove that a uniformly joinable chain connected space is coverable.

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