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Sbornik: Mathematics, 2004, Volume 195, Issue 12, Pages 1809–1822
DOI: https://doi.org/10.1070/SM2004v195n12ABEH000868
(Mi sm868)
 

This article is cited in 6 scientific papers (total in 6 papers)

An example of a compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different

V. V. Fedorchuk

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: We construct an example of a separable compact Hausdorff space $B$ satisfying the first countability axiom of dimension $2=\dim B<\operatorname{Dg}B=3<\operatorname{ind}B=4=\operatorname{Ind}B$, where $\operatorname{Dg}$ is the inductive dimension invariant introduced by Brouwer in 1913 under the name “Dimensionsgrad”.
Received: 31.07.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 12, Pages 109–122
DOI: https://doi.org/10.4213/sm868
Bibliographic databases:
UDC: 515.12
MSC: Primary 54F45; Secondary 54D30, 54E45, 54F15
Language: English
Original paper language: Russian
Citation: V. V. Fedorchuk, “An example of a compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different”, Mat. Sb., 195:12 (2004), 109–122; Sb. Math., 195:12 (2004), 1809–1822
Citation in format AMSBIB
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\paper An example of a~compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different
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Linking options:
  • https://www.mathnet.ru/eng/sm868
  • https://doi.org/10.1070/SM2004v195n12ABEH000868
  • https://www.mathnet.ru/eng/sm/v195/i12/p109
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:478
    Russian version PDF:225
    English version PDF:10
    References:77
    First page:3
     
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