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Sbornik: Mathematics, 2002, Volume 193, Issue 1, Pages 73–82
DOI: https://doi.org/10.1070/SM2002v193n01ABEH000620 (Mi sm620) 		 
This article is cited in 6 scientific papers (total in 6 papers)

$k$-Regular maps into Euclidean spaces and the Borsuk–Boltyanskii problem

S. A. Bogatyi

M. V. Lomonosov Moscow State University
English version PDF (183 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2002v193n01ABEH000620
Abstract: The Borsuk–Boltyanskii problem is solved for odd $k$, that is, the minimum dimension of a Euclidean space is determined into which any $n$-dimensional polyhedron (compactum) can be $k$-regularly embedded. A new lower bound is obtained for even $k$.
Received: 27.09.2000
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 1, Pages 73–82
DOI: https://doi.org/10.4213/sm620
Bibliographic databases:
UDC: 515.127.15
MSC: Primary 54C25; Secondary 54C15, 54B10
Language: English
Original paper language: Russian
Citation: S. A. Bogatyi, “$k$-Regular maps into Euclidean spaces and the Borsuk–Boltyanskii problem”, Mat. Sb., 193:1 (2002), 73–82; Sb. Math., 193:1 (2002), 73–82
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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    Russian version PDF:212
    English version PDF:19
    References:82
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