On weaker forms of compactness, Lindelöfness, and countable compactness (Q910754)
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scientific article; zbMATH DE number 4140785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weaker forms of compactness, Lindelöfness, and countable compactness |
scientific article; zbMATH DE number 4140785 |
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On weaker forms of compactness, Lindelöfness, and countable compactness (English)
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1990
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Summary: A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed. Amongst other results we show that an e- countably compact space is pseudocompact, and an example of a space which is pseudocompact but not e-countably compact with respect to any dense set is presented. We also show that every e-Lindelöf metric space is separable.
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pseudocompactness
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e-countable compactness
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e-Lindelöfness
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0.96208704
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0.9413164
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0.9328182
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0.91703826
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0.9070734
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