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Sbornik: Mathematics, 2005, Volume 196, Issue 1, Pages 1–28
DOI: https://doi.org/10.1070/SM2005v196n01ABEH000870
(Mi sm1259)
 

This article is cited in 5 scientific papers (total in 6 papers)

Antipodes and embeddings

A. Yu. Volovikov, E. V. Shchepin

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: This paper is concerned with maps without antipodal coincidence from spheres into compacta and polyhedra of a smaller dimension and to obstructions for embeddings of polyhedra and compacta in Euclidean spaces. Estimates of the dimension of the antipodal coincidence set are given for maps of spheres into compacta. The theory of the Yang homology index of spaces with involution is systematically expounded and developed in the case of a deleted square.
Received: 04.12.2003
Bibliographic databases:
Document Type: Article
UDC: 515.142.226
MSC: 55M20, 54H25, 57Q35
Language: English
Original paper language: Russian
Citation: A. Yu. Volovikov, E. V. Shchepin, “Antipodes and embeddings”, Sb. Math., 196:1 (2005), 1–28
Citation in format AMSBIB
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\by A.~Yu.~Volovikov, E.~V.~Shchepin
\paper Antipodes and embeddings
\jour Sb. Math.
\yr 2005
\vol 196
\issue 1
\pages 1--28
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-18944373274}
Linking options:
  • https://www.mathnet.ru/eng/sm1259
  • https://doi.org/10.1070/SM2005v196n01ABEH000870
  • https://www.mathnet.ru/eng/sm/v196/i1/p3
  • 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
    Statistics & downloads:
    Abstract page:608
    Russian version PDF:287
    English version PDF:38
    References:78
    First page:2
     
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