Some counterexamples and properties on generalizations of Lindelöf spaces (Q1922852)
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scientific article; zbMATH DE number 930051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some counterexamples and properties on generalizations of Lindelöf spaces |
scientific article; zbMATH DE number 930051 |
Statements
Some counterexamples and properties on generalizations of Lindelöf spaces (English)
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21 April 1997
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An investigation of several generalizations of the notion of Lindelöf space (weakly Lindelöf, almost-Lindelöf and nearly-Lindelöf) are continued. In particular, some counterexamples are constructed to show that the generalizations are proper. Besides, it is introduced (based on the notion of quasi-regular open subset) and studied a new generalization of Lindelöf spaces -- the almost regular Lindelöf spaces.
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almost Lindelöf
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weakly Lindelöf
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nearly Lindelöf
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almost-regular space
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regular cover
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Lindelöf space
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