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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
English version PDF (348 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2005v196n01ABEH000870
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
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 1, Pages 3–32
DOI: https://doi.org/10.4213/sm1259
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”, Mat. Sb., 196:1 (2005), 3–32; Sb. Math., 196:1 (2005), 1–28
Citation in format AMSBIB
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  • 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
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    Abstract page:567
    Russian version PDF:278
    English version PDF:29
    References:65
    First page:2
     
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