Atsuji completions: Equivalent characterisations (Q857034)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Atsuji completions: Equivalent characterisations |
scientific article; zbMATH DE number 5080152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Atsuji completions: Equivalent characterisations |
scientific article; zbMATH DE number 5080152 |
Statements
Atsuji completions: Equivalent characterisations (English)
0 references
14 December 2006
0 references
In this most thorough paper, the authors build on work of \textit{G. Beer} [most particularly in Bull. Aust. Math. Soc. 33, 397--406 (1986; Zbl 0573.54026)] and \textit{J. Borsík} [Cas. Pestovńí\ Mat. 113, No. 3, 280--285 (1988; Zbl 0657.54024)], to give a large number of equivalent characterizations for a metric space to have an Atsuji completion; that is, a completion in which every real-valued continuous function is uniformly continuous.
0 references
uniform continuity
0 references
asymptotic sequence
0 references
Cauchy sequence
0 references
Cauchy-sequentially regular
0 references
Atsuji space
0 references
totally bounded
0 references
Pseudo-Cauchy
0 references
0 references