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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