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Variations of uniform completeness related to realcompactness

Publikace na Matematicko-fyzikální fakulta |
2017

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.