Year: 2018
Type: preprint
Abstract: Metric spaces satisfying properties stronger than completeness and weaker than compactness have been studied by many authors over the years. One such significant family is that of cofinally complete metric spaces. We discuss the relationship between cofinally complete metric spaces and the family of almost uniformly continuous functions, which has recently been introduced by Kyriakos Keremedis in \cite{[K]}. We also discuss several equivalent conditions for metric spaces whose completions are cofinally complete in terms of some geometric functional.
Source: arXiv (Cornell University)
Authors: Lipsy, Aggarwal, Manisha, Kundu, S.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2859916714