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Matematicheskie Zametki, 1973, Volume 14, Issue 5, Pages 713–722 (Mi mzm9956)  

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
English version:
Mathematical Notes, 1973, Volume 14, Issue 5, Pages 967–972
DOI: https://doi.org/10.1007/BF01462259
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: Ya. A. Kofner, “Symmetrizable spaces and factor mappings”, Mat. Zametki, 14:5 (1973), 713–722; Math. Notes, 14:5 (1973), 967–972
Citation in format AMSBIB
\Bibitem{Kof73}
\by Ya.~A.~Kofner
\paper Symmetrizable spaces and factor mappings
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 5
\pages 713--722
\mathnet{http://mi.mathnet.ru/mzm9956}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=339087}
\zmath{https://zbmath.org/?q=an:0304.54024}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 5
\pages 967--972
\crossref{https://doi.org/10.1007/BF01462259}
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