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Matematicheskie Zametki, 2003, Volume 73, Issue 2, Pages 295–304
DOI: https://doi.org/10.4213/mzm176 (Mi mzm176) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Brouwer Dimension of Compact Spaces

V. V. Fedorchuk

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (209 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm176
Abstract: A closed set is called a cut between two disjoint sets if any continuum intersecting both these sets intersects the cut. The main result of this paper is that, for any compact space, the dimension defined by induction on the basis of the notion of cut does not exceed the covering dimension.
Received: 23.01.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 2, Pages 271–279
DOI: https://doi.org/10.1023/A:1022123528550
Bibliographic databases:
UDC: 515.12
Language: Russian
Citation: V. V. Fedorchuk, “On the Brouwer Dimension of Compact Spaces”, Mat. Zametki, 73:2 (2003), 295–304; Math. Notes, 73:2 (2003), 271–279
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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