Charles Explorer logo
🇬🇧

Variations of uniform completeness related to realcompactness

Publication at Faculty of Mathematics and Physics |
2017

Abstract

Various characterizations of realcompactness are transferred to uniform spaces giving non-equivalent concepts. Their properties, relations and characterizations are described in this paper.

A Shirota-like characterization of certain uniform realcompactness proved by Garrido and Merono for metrizable spaces is generalized to uniform spaces. The paper may be considered as a unifying survey of known results with some new results added.