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Mathematics of the USSR-Sbornik, 1988, Volume 61, Issue 2, Pages 471–484
DOI: https://doi.org/10.1070/SM1988v061n02ABEH003219 (Mi sm2622) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Compacta lying in the $n$-dimensional universal Menger compactum and having homeomorphic complements in it

A. Ch. Chigogidze
English version PDF (911 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/SM1988v061n02ABEH003219
Abstract: The concept of $n$-shape is defined for an arbitrary compactum, and it is proved that two $Z$-sets lying in the $(n+1)$-dimensional universal Menger compactum have homeomorphic complements in it precisely when their $n$-shapes are equal.
Bibliography: 15 titles.
Received: 12.06.1986
Bibliographic databases:
UDC: 515.12
MSC: Primary 54C56, 55P55; Secondary 54D05, 54G05
Language: English
Original paper language: Russian
Citation: A. Ch. Chigogidze, “Compacta lying in the $n$-dimensional universal Menger compactum and having homeomorphic complements in it”, Math. USSR-Sb., 61:2 (1988), 471–484
Citation in format AMSBIB
\Bibitem{Chi87}
\by A.~Ch.~Chigogidze
\paper Compacta lying in the $n$-dimensional universal Menger compactum and
having homeomorphic complements in it
\jour Math. USSR-Sb.
\yr 1988
\vol 61
\issue 2
\pages 471--484
\mathnet{http://mi.mathnet.ru//eng/sm2622}
\crossref{https://doi.org/10.1070/SM1988v061n02ABEH003219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=911804}
\zmath{https://zbmath.org/?q=an:0683.54024}
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  • https://www.mathnet.ru/eng/sm/v175/i4/p481
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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