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Collections of covers
of metric spaces
Ted R. Pettis |
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Vol. 100 (1982), No. 2, 425–435
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Abstract |
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In this paper cardinality κ collections of open covers of a topological space satisfying various conditions are studied. When κ = ω some of the conditions are equivalent to the space being metrizable and the union of a compact set and a discrete set. For a metrizable space some of the conditions are equivalent to complete metrizability. If κ≠ω then the relationship between some of the conditions and the existence of scales is examined. |
Mathematical Subject Classification 2000
Primary: 54E30
Secondary: 54E18
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Milestones
Received: 3 September 1980
Revised: 15 December 1980
Published: 1 June 1982
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Authors |
| Ted R. Pettis | |
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