Alexander's theorem for real-compactness
Alexander's theorem (5) states that a topological space is compact if there is a sub-base, , for its closed sets such that every subclass of with the finite intersection property has a non-empty intersection. An analysis and extension of this is given here which has applications, inter alia, to...
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1968-01, Vol.64 (1), p.41-43, Article 41 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Alexander's theorem (5) states that a topological space is compact if there is a sub-base, , for its closed sets such that every subclass of with the finite intersection property has a non-empty intersection. An analysis and extension of this is given here which has applications, inter alia, to problems concerning real-compactness (2). |
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| ISSN: | 0305-0041 0008-1981 1469-8064 |
| DOI: | 10.1017/S0305004100042535 |