Variations of uniform completeness related to realcompactness

Miroslav Hušek

Commentationes Mathematicae Universitatis Carolinae (2017)

  • Volume: 58, Issue: 4, page 501-518
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Hušek, Miroslav. "Variations of uniform completeness related to realcompactness." Commentationes Mathematicae Universitatis Carolinae 58.4 (2017): 501-518. <http://eudml.org/doc/294374>.

@article{Hušek2017,
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 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.},
author = {Hušek, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {realcompactness; realcompleteness; uniform space},
language = {eng},
number = {4},
pages = {501-518},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Variations of uniform completeness related to realcompactness},
url = {http://eudml.org/doc/294374},
volume = {58},
year = {2017},
}

TY - JOUR
AU - Hušek, Miroslav
TI - Variations of uniform completeness related to realcompactness
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2017
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 58
IS - 4
SP - 501
EP - 518
AB - 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.
LA - eng
KW - realcompactness; realcompleteness; uniform space
UR - http://eudml.org/doc/294374
ER -

References

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