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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 217–232
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000755 (Mi im1176) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On free actions of zero-dimensional compact groups

A. N. Dranishnikov
English version PDF (989 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/IM1989v032n01ABEH000755
Abstract: It is proved that there exists a free action of an arbitrary zero-dimensional compact group on every Menger manifold. It is shown that in the case of a finite group $G$ such a $G$-action on the $n$-dimensional Menger compactum is unique and universal in the class of free $G$-actions on $n$-dimensional compacta.
Bibliography: 22 titles.
Received: 07.02.1986
Bibliographic databases:
UDC: 515.12
MSC: Primary 57S10, 22C05, 22E35; Secondary 54F45, 54D30, 54H15, 54E60
Language: English
Original paper language: Russian
Citation: A. N. Dranishnikov, “On free actions of zero-dimensional compact groups”, Math. USSR-Izv., 32:1 (1989), 217–232
Citation in format AMSBIB
\Bibitem{Dra88}
\by A.~N.~Dranishnikov
\paper On~free actions of zero-dimensional compact groups
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 217--232
\mathnet{http://mi.mathnet.ru//eng/im1176}
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000755}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936531}
\zmath{https://zbmath.org/?q=an:0689.57025|0648.57016}
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    • This publication is cited in the following 12 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:407
    Russian version PDF:102
    English version PDF:18
    References:80
    First page:1
     
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