/

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

Brendon LaBuz
Arxiv ID: 0901.2565Last updated: 3/2/2020
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.

PaperStudio AI Chat

I'm your research assistant! Ask me anything about this paper.

Related papers

About
Pricing
Commercial Disclosure
Contact
© 2023 Paper Studio™. All Rights Reserved.