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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 76–87 (Mi znsl3742)  

General topology

Topological characteristics of free bases of topological groups and topological vector spaces

T. V. Burova

Moscow State Academy of Printing Arts
Abstract: Mutual dimensional properties of basis-equivalent ($b$-equivalent) and weakly $l$-equivalent topological spaces are studied. It is shown that the $b$-equivalence does not preserve bicompactness; in particular, $b$-equivalent topological spaces can be non-$l$-equivalent. Bibl. 18 titles.
Received: 10.11.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3380–3386
DOI: https://doi.org/10.1007/BF02434915
Bibliographic databases:
Document Type: Article
UDC: 515.122.4
Language: Russian
Citation: T. V. Burova, “Topological characteristics of free bases of topological groups and topological vector spaces”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 76–87; J. Math. Sci. (New York), 91:6 (1998), 3380–3386
Citation in format AMSBIB
\Bibitem{Bur95}
\by T.~V.~Burova
\paper Topological characteristics of free bases of topological groups and topological vector spaces
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 76--87
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3742}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434285}
\zmath{https://zbmath.org/?q=an:0907.54035|0887.54033}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3380--3386
\crossref{https://doi.org/10.1007/BF02434915}
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