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Fundamentalnaya i Prikladnaya Matematika, 1995, Volume 1, Issue 4, Pages 871–880
(Mi fpm105)
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This article is cited in 2 scientific papers (total in 2 papers)
On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces
A. V. Arkhangel'skii, V. V. Fedorchuk M. V. Lomonosov Moscow State University
Abstract:
We deal with the following problem: is it correct that every separable, countably compact, first countable space admits a one-to-one mapping onto some Hausdorff compact space? Theorems 2 and 3 show that this problem has no positive solution in ZFC.
Received: 01.05.1995
Citation:
A. V. Arkhangel'skii, V. V. Fedorchuk, “On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces”, Fundam. Prikl. Mat., 1:4 (1995), 871–880
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https://www.mathnet.ru/eng/fpm105 https://www.mathnet.ru/eng/fpm/v1/i4/p871
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Abstract page: | 516 | Full-text PDF : | 185 | References: | 84 | First page: | 2 |
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