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Russian Mathematical Surveys, 2018, Volume 73, Issue 2, Pages 355–362
DOI: https://doi.org/10.1070/RM9820 (Mi rm9820) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topological Tverberg Theorem: the proofs and the counterexamples

S. B. Shlosmanabc

a Skolkovo Institute of Science and Technology
b Aix Marseille University, University of Toulon, CNRS, CPT, Marseille, France
c Institute for Information Transmission Problems of the Russian Academy of Sciences
English version PDF (429 kB) Citations (2)
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DOI: https://doi.org/10.1070/RM9820
Abstract: The history of the Topological Tverberg Theorem (TTT) is described. Some important constructions are presented, and their properties are discussed. In particular, there is a detailed description of the cell structure of the classifying space $K(S_r,1)$, where $S_r$ is the permutation group.
Bibliography: 9 titles.
Keywords: Tverberg Theorem, Borsuk–Ulam Theorem, $\mathscr{O}$-orientation.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Agence Nationale de la Recherche ANR-11-LABX-0033
ANR-11-IDEX-0001-02
Part of this work was carried out in the framework of the Labex Archimede (grant ANR-11-LABX-0033) and of the A*MIDEX project (grant ANR-11-IDEX-0001-02), funded by the “Investissements d'Avenir” French Government programme managed by the French National Research Agency (ANR). Another part was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute) with the support of the Russian Science Foundation (grant no. 14-50-00150).
Received: 06.03.2018
Russian version:
Uspekhi Matematicheskikh Nauk, 2018, Volume 73, Issue 2(440), Pages 175–182
DOI: https://doi.org/10.4213/rm9820
Bibliographic databases:
Document Type: Article
MSC: 52A35, 05B99, 01A65
Language: English
Original paper language: Russian
Citation: S. B. Shlosman, “Topological Tverberg Theorem: the proofs and the counterexamples”, Uspekhi Mat. Nauk, 73:2(440) (2018), 175–182; Russian Math. Surveys, 73:2 (2018), 355–362
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:72
    English version PDF:19
    References:64
    First page:35
     
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