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Mathematics of the USSR-Sbornik, 1969, Volume 8, Issue 3, Pages 409–418
DOI: https://doi.org/10.1070/SM1969v008n03ABEH001280 (Mi sm3597) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a class of infinite-dimensional spaces

A. I. Vainshtein
English version PDF (553 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1969v008n03ABEH001280
Abstract: In the paper is given a new version of the Hurewicz–Wallman characterization of dimension. Analogously to P. S. Aleksandrov's definitions, $W$-infinite-dimensional and $S$-infinite-dimensional spaces are introduced. It is proved that $W$-infinite-dimensional spaces satisfy the heredity condition and the sum theorem. Also, mappings of infinite-dimensional spaces which increase dimension are investigated.
Bibliography: 6 titles.
Received: 20.12.1968
Bibliographic databases:
UDC: 513.83
MSC: 54E35, 54E45, 54F45, 54D20
Language: English
Original paper language: Russian
Citation: A. I. Vainshtein, “On a class of infinite-dimensional spaces”, Math. USSR-Sb., 8:3 (1969), 409–418
Citation in format AMSBIB
\Bibitem{Vai69}
\by A.~I.~Vainshtein
\paper On~a~class of infinite-dimensional spaces
\jour Math. USSR-Sb.
\yr 1969
\vol 8
\issue 3
\pages 409--418
\mathnet{http://mi.mathnet.ru/eng/sm3597}
\crossref{https://doi.org/10.1070/SM1969v008n03ABEH001280}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=244968}
\zmath{https://zbmath.org/?q=an:0185.26703|0193.51304}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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