This article is cited in 2 papers

Topological Tverberg Theorem: the proofs and the counterexamples

S. B. Shlosman<sup>abc

a</sup> 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

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.

MSC: 52A35, 05B99, 01A65

Received: 06.03.2018

DOI: 10.4213/rm9820

 English version: Russian Mathematical Surveys, 2018, 73:2, 355–362

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