Basic quasi-proximities, grills and compactifications (Q1074166)
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scientific article; zbMATH DE number 3947177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basic quasi-proximities, grills and compactifications |
scientific article; zbMATH DE number 3947177 |
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Basic quasi-proximities, grills and compactifications (English)
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1985
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This is a systematic and thorough exposition of quasi-proximities from the point of view of grills. Earlier work for basic symmetric proximities was initiated by \textit{W. J. Thron} [Math. Ann. 206, 35-62 (1973; Zbl 0247.54027)]. The authors show that many of Thron's results remain valid for quasi-proximities. Then the authors use the theory to construct \(D_ 0\)-extensions, including compactifications, of \(D_ 0\)-closure spaces. They conclude by an examination of Riesz's remarks in the context of quasi-proximities.
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Čech closure
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Riesz problem
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quasi-proximities
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grills
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\(D_ 0\)- extensions
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\(D_ 0\)-closure spaces
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0.87670153
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0.8622552
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