Point-countable bases and \(k\)-networks (Q1916442)
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scientific article; zbMATH DE number 896585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Point-countable bases and \(k\)-networks |
scientific article; zbMATH DE number 896585 |
Statements
Point-countable bases and \(k\)-networks (English)
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10 March 1997
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A completely regular space with a uniform base is presented (hence a space with a point-countable base), i.e. an open-compact image of a metric space, which admits no point-countable \(k\)-network of closed sets. This answers a question raised by \textit{G. Gruenhage}, \textit{E. Michael} and \textit{Y. Tanaka} [Pac. J. Math. 113, 303-332 (1984; Zbl 0561.54016)].
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quotient \(s\)-map
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uniform base
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point-countable base
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\(k\)-network
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0.93048835
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0.9080683
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0.90576786
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0.89671946
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0.8904937
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