Authors: Blagojević, Pavle 
Ziegler, Günter
Title: Beyond the Borsuk-Ulam theorem: The topological tverberg story
Journal: A Journey through Discrete Mathematics: A Tribute to Jiri Matousek
First page: 273
Last page: 341
Issue Date: 1-Jan-2017
Rank: M13
ISBN: 978-3-319-44478-9
DOI: 10.1007/978-3-319-44479-6_11
Abstract: 
Bárány’s "topological Tverberg conjecture” from 1976 states that any continuous map of an N-simplex ΔN to Rd, for N ≥ (d + 1)(r - 1), maps points from r disjoint faces in ΔN to the same point in Rd. The proof of this result for the case when r is a prime, as well as some colored version of the same result, using the results of Borsuk-Ulam and Dold on the non-existence of equivariant maps between s...
Publisher: Springer Link
Project: Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security 

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