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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 2, Pages 539–545
DOI: https://doi.org/10.1070/SM1989v063n02ABEH003290 (Mi sm1724) 		 
This article is cited in 55 scientific papers (total in 55 papers)

On a problem of P. S. Aleksandrov

A. N. Dranishnikov
English version PDF (463 kB) Citations (55) Russian version article
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DOI: https://doi.org/10.1070/SM1989v063n02ABEH003290
Abstract: An old problem of P. S. Aleksandrov, known today as the CE-problem, is solved. Using $K$-theory, an infinite-dimensional compactum with integer cohomological dimension equal to three is constructed. This shows that cell-like maps may raise dimension.
Bibliography: 9 titles.
Received: 24.09.1987
Bibliographic databases:
UDC: 515.1
MSC: 54F45, 55M10
Language: English
Original paper language: Russian
Citation: A. N. Dranishnikov, “On a problem of P. S. Aleksandrov”, Math. USSR-Sb., 63:2 (1989), 539–545
Citation in format AMSBIB
\Bibitem{Dra88}
\by A.~N.~Dranishnikov
\paper On a problem of P.\,S.~Aleksandrov
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 2
\pages 539--545
\mathnet{http://mi.mathnet.ru/eng/sm1724}
\crossref{https://doi.org/10.1070/SM1989v063n02ABEH003290}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=942139}
\zmath{https://zbmath.org/?q=an:0667.55002|0643.55001}
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  • https://www.mathnet.ru/eng/sm/v177/i4/p551
    • This publication is cited in the following 55 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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