Wallman-Frink proximities (Q2782226)
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scientific article; zbMATH DE number 1727767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wallman-Frink proximities |
scientific article; zbMATH DE number 1727767 |
Statements
2 May 2002
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Efremovic proximity
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\(p\)-map
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Wallman-Frink compactification
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Gagrat-Naimpally compactification
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Lodato proximity
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Smirnov compactification
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normal base
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Wallman-Frink proximities (English)
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In [Fundam. Math. 71, 63-76 (1971; Zbl 0188.27902)] \textit{M. S. Gagrat} and \textit{S. A. Naimpally} discovered a \(T_1\) compactification of a separated Lodato proximity space. This generalized the well-known Smirnov compactification but lacked some of its nice properties. In this article, the author has admirably succeeded in restoring some of these by constructing a Wallman-Frink type of compactification using a normal base. For related work see [\textit{M. S. Gagrat} and \textit{S. A. Naimpally}, J. Aust. Math. Soc. 15, 417-427 (1973; Zbl 0265.54023)].NEWLINENEWLINEFor the entire collection see [Zbl 0983.00046].
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