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Symmetrizable spaces and factor mappings
Ya. A. Kofner Tul'skii Pedagogical Institute
Abstract:
Main results: A pseudostratifiable symmetrizable space possesses a symmetric with weak Cauchy condition. A space is strongly symmetrizable if and only if it is a pseudo-open $\Pi$-image of a metric space. There exists a zero-dimensional symmetrizable space without a symmetric with weak Cauchy condition.
Received: 24.05.1972
Citation:
Ya. A. Kofner, “Symmetrizable spaces and factor mappings”, Mat. Zametki, 14:5 (1973), 713–722; Math. Notes, 14:5 (1973), 967–972
Linking options:
https://www.mathnet.ru/eng/mzm9956 https://www.mathnet.ru/eng/mzm/v14/i5/p713
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Abstract page: | 127 | Full-text PDF : | 56 | First page: | 1 |
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