On connections between the countability properties of (X,\(\omega\) (\({\mathcal T}))\) and (X,\({\mathcal T})\) (Q1060446)
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scientific article; zbMATH DE number 3907325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On connections between the countability properties of (X,\(\omega\) (\({\mathcal T}))\) and (X,\({\mathcal T})\) |
scientific article; zbMATH DE number 3907325 |
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On connections between the countability properties of (X,\(\omega\) (\({\mathcal T}))\) and (X,\({\mathcal T})\) (English)
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1985
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Simple connections between some countability properties of a topological space and its generated fuzzy topological space are shown. The concept of the fuzzy points used here is seriously limited, because this one does not take the ordinary (crisp) point as a special case. So most investigations should be reconsidered in a more suitable framework.
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first (second) countable space
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separability
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countable compact space
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Lindelöf space
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countability properties
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