A counterexample for a problem of Arkhangel'skij concerning the product of Fréchet spaces (Q1081880)
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scientific article; zbMATH DE number 3971742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample for a problem of Arkhangel'skij concerning the product of Fréchet spaces |
scientific article; zbMATH DE number 3971742 |
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A counterexample for a problem of Arkhangel'skij concerning the product of Fréchet spaces (English)
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1987
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Using the continuum hypothesis, we give a counterexample for the following problem posed by \textit{A. V. Arkhangel'skij} [Tr. Mosk. Mat. O. va 40, 171-206 (1979; Zbl 0447.54004); translat. in Trans. Mosc. Math. Soc. 1981, No.2, 163-200 (1981)]: If \(X\times Y\) is Fréchet for each countably compact regular Fréchet space Y, then is X an \(<\alpha_ 3>\)-space?
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\(<\alpha _ i>\)-space
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strongly Fréchet space
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countably compact regular Fréchet space
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