Illustrating an Error in “an Equivalent Condition for a Uniform Space to Be Coverable”
نویسنده
چکیده
Berestovskii and Plaut introduced the concept of a coverable space [1] 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 [2] 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 [5] to prove that a uniformly joinable chain connected space is coverable.
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