\(k\)-expansion of topological spaces and convexity (Q1589117)
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scientific article; zbMATH DE number 1541535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(k\)-expansion of topological spaces and convexity |
scientific article; zbMATH DE number 1541535 |
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\(k\)-expansion of topological spaces and convexity (English)
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7 March 2001
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A characterization of \(k\)-expanded topological spaces is given, by means of a certain (order) convexity condition. The obtained results extend some contributions in this area due to \textit{A. V. Arkhangel'skij} [Sov. Math., Dokl. 19, 77-81 (1978); translation from Dokl. Akad. Nauk SSSR 238, 773-776 (1978; Zbl 0405.54026); Sov. Math., Dokl. 19, 336-340 (1978); translation from Dokl. Akad. Nauk SSSR 239, 505-508 (1978; Zbl 0416.54039)].
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\(k\)-expansion
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bicompact set
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minimal element
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countable closeness
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0.7445435523986816
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