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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) Russian version article
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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
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”, Math. USSR-Izv., 13:2 (1979), 445–460
Citation in format AMSBIB
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\by V.~V.~Fedorchuk
\paper Infinite-dimensional compact Hausdorff spaces
\jour Math. USSR-Izv.
\yr 1979
\vol 13
\issue 2
\pages 445--460
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\crossref{https://doi.org/10.1070/IM1979v013n02ABEH002061}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=513919}
\zmath{https://zbmath.org/?q=an:0423.54024}
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    • 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
     
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