Geodesic
Variations of uniform completeness related to realcompactness
Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 4, pp. 501-518.

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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 Meroño 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.
DOI : 10.14712/1213-7243.2015.225
Classification : 54D60, 54E15
Keywords: realcompactness; realcompleteness; uniform space 
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Hušek, Miroslav. Variations of uniform completeness related to realcompactness. Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 4, pp. 501-518. doi : 10.14712/1213-7243.2015.225. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.225/

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