Title:
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Variations of uniform completeness related to realcompactness (English) |
Author:
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Hušek, Miroslav |
Language:
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English |
Journal:
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Commentationes Mathematicae Universitatis Carolinae |
ISSN:
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0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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58 |
Issue:
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4 |
Year:
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2017 |
Pages:
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501-518 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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realcompactness |
Keyword:
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realcompleteness |
Keyword:
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uniform space |
MSC:
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54D60 |
MSC:
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54E15 |
idZBL:
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Zbl 06837082 |
idMR:
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MR3737121 |
DOI:
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10.14712/1213-7243.2015.225 |
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Date available:
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2017-12-12T06:52:30Z |
Last updated:
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2020-01-05 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/146993 |
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Reference:
|
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