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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
English version PDF (203 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2004v195n12ABEH000868
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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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:10
    References:76
    First page:3
     
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