“一致空间可复盖的一个等价条件”一文的一个错误
Illustrating an error in "An equivalent condition for a uniform space to be coverable"
摘要：
Berestovskii和Plaut在发展一致空间的广义泛覆盖映射理论时引入了可覆盖一致空间的概念。Brodskiy，Dydak，LaBuz和Mitra在发展他们的广义一致覆盖映射理论时引入了局部一致可连接的一致空间的概念，这是由Berestovskii和Plaut的工作所激发的。很容易看出，链连通的可覆盖一致空间是局部一致可并的。本文指出了Plaut在“一致空间可覆盖的一个等价条件”中试图证明局部一致可并链连通的一致空间是可覆盖的一个错误。
英文摘要：
Berestovskii and Plaut introduced the concept of a coverable uniform space when developing their theory of generalized universal covering maps for uniform spaces. Brodskiy, Dydak, LaBuz, and Mitra introduced the concept of a locally uniformly joinable uniform space when developing their theory of generalized uniform covering maps which was motivated by the work of Berestovskii and Plaut. It is easy to see that a chain connected coverable uniform space is locally uniformly joinable. This paper points out an error in the attempt in Plaut's "An equivalent condition for a uniform space to be coverable" to prove that a locally uniformly joinable chain connected uniform space is coverable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
