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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 3, Pages 657–680
DOI: https://doi.org/10.1070/IM1991v037n03ABEH002163 (Mi im1046) 		 
This article is cited in 51 scientific papers (total in 51 papers)

Free topological groups of metrizable spaces

V. V. Uspenskii

International Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
English version PDF (1533 kB) Citations (51) Russian version article
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DOI: https://doi.org/10.1070/IM1991v037n03ABEH002163
Abstract: The free topological group $F(X)$ of an arbitrary metrizable space $X$ is complete in the Weil sense. If $Y$ is a closed subspace of a metrizable space $X$, then $F(Y)$ is a topological subgroup of $F(X)$.
Received: 25.01.1989
Bibliographic databases:
UDC: 515.1
MSC: Primary 54H11, 20E05; Secondary 54E15, 54D20, 22A99, 20K99, 54D35, 54E20
Language: English
Original paper language: Russian
Citation: V. V. Uspenskii, “Free topological groups of metrizable spaces”, Math. USSR-Izv., 37:3 (1991), 657–680
Citation in format AMSBIB
\Bibitem{Usp90}
\by V.~V.~Uspenskii
\paper Free topological groups of metrizable spaces
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 3
\pages 657--680
\mathnet{http://mi.mathnet.ru//eng/im1046}
\crossref{https://doi.org/10.1070/IM1991v037n03ABEH002163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098628}
\zmath{https://zbmath.org/?q=an:0739.22002|0722.22001}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..657U}
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    • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:650
    Russian version PDF:172
    English version PDF:21
    References:68
    First page:1
     
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