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Mathematics of the USSR-Izvestiya, 1979, Volume 13, Issue 2, Pages 445–460
DOI: https://doi.org/10.1070/IM1979v013n02ABEH002061 (Mi im1947) 		 
This article is cited in 7 scientific papers (total in 8 papers)

Infinite-dimensional compact Hausdorff spaces

V. V. Fedorchuk
English version PDF (915 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM1979v013n02ABEH002061
Abstract: Various types of infinite dimensionality of compact Hausdorff spaces are studied. In particular, it is shown that the classes of compact Hausdorff spaces for which the small and the large transfinite dimensions are defined coincide. An example, giving a negative solution of Aleksandrov's problem on the coincidence of countable dimensionality and weak infinite dimensionality in the class of compact Hausdorff spaces, is constructed.
Bibliography: 19 titles.
Received: 27.10.1977
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1978, Volume 42, Issue 5, Pages 1162–1178
Bibliographic databases:
UDC: 513.88
MSC: Primary 54F45, 54D30; Secondary 54C10, 54D10, 54B25, 18B99
Language: English
Original paper language: Russian
Citation: V. V. Fedorchuk, “Infinite-dimensional compact Hausdorff spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 42:5 (1978), 1162–1178; Math. USSR-Izv., 13:2 (1979), 445–460
Citation in format AMSBIB
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\paper Infinite-dimensional compact Hausdorff spaces
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\vol 42
\issue 5
\pages 1162--1178
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\transl
\jour Math. USSR-Izv.
\yr 1979
\vol 13
\issue 2
\pages 445--460
\crossref{https://doi.org/10.1070/IM1979v013n02ABEH002061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JD23800013}
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  • https://doi.org/10.1070/IM1979v013n02ABEH002061
  • https://www.mathnet.ru/eng/im/v42/i5/p1162
    • This publication is cited in the following 8 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
    Statistics & downloads:
    Abstract page:378
    Russian version PDF:104
    English version PDF:25
    References:64
    First page:3
     
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