A countable Fréchet-Urysohn space of uncountable character (Q929998)
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scientific article; zbMATH DE number 5290943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A countable Fréchet-Urysohn space of uncountable character |
scientific article; zbMATH DE number 5290943 |
Statements
A countable Fréchet-Urysohn space of uncountable character (English)
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19 June 2008
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The author constructs an infinite strong completely separable almost disjoint family on \(\omega\) and, by means of that, a countable Fréchet-Urysohn \(\alpha_4\) but not \(\alpha_3\) space all finite powers of which are Fréchet-Urysohn.
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\(\alpha_3\)-space
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\(\alpha_4\)-space
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Fréchet-Urysohn space (for finite sets, for bounded sets)
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bisequential space
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(strong completely separable) almost disjoint family
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0.9251172
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0.87770945
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0.87570167
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