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This article is cited in 2 scientific papers (total in 2 papers)
On a class of infinite-dimensional spaces
A. I. Vainshtein
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
Citation:
A. I. Vainshtein, “On a class of infinite-dimensional spaces”, Mat. Sb. (N.S.), 79(121):3(7) (1969), 433–443; Math. USSR-Sb., 8:3 (1969), 409–418
Linking options:
https://www.mathnet.ru/eng/sm3597https://doi.org/10.1070/SM1969v008n03ABEH001280 https://www.mathnet.ru/eng/sm/v121/i3/p433
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Abstract page: | 1276 | Russian version PDF: | 162 | English version PDF: | 7 | References: | 43 |
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