Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story
type: Item
instance of: scholarly article
title: Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story
zbMATH Open document ID: 1470.52007
DOI: 10.1007/978-3-319-44479-6_11
author: Pavle V. M. Blagojević
author: Günter M. Ziegler
published in: A Journey Through Discrete Mathematics
publication date: 2018-02-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1605.07321
Mathematics Subject Classification ID: 52A35
zbMATH DE Number: 6843448
zbMATH Keywords: topological Tverberg theorem
MaRDI profile type: Publication
OpenAlex ID: W2400349515
arXiv ID: 1605.07321
cites work: Q4439201
cites work: Q5500795
cites work: Eliminating higher-multiplicity intersections. III. Codimension 2
cites work: On a common generalization of Borsuk's and Radon's theorem
cites work: Tverberg's Theorem at 50: Extensions and Counterexamples
cites work: On the number of halving planes
cites work: A Colored Version of Tverberg's Theorem
cites work: On a Topological Generalization of a Theorem of Tverberg
cites work: Q3264648
cites work: Q4871782
cites work: Chessboard Complexes and Matching Complexes
cites work: Tverberg plus constraints
cites work: Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints
cites work: Equivariant topology of configuration spaces
cites work: Optimal bounds for a colorful Tverberg-Vrećica type problem
cites work: A tight colored Tverberg theorem for maps to manifolds
cites work: Optimal bounds for the colored Tverberg problem
cites work: Equivariant cohomology theories
cites work: Q3136738
cites work: Simple proofs of some Borsuk-Ulam results
cites work: An ideal-valued cohomological index theory with applications to Borsuk—Ulam and Bourgin—Yang theorems
cites work: Homotopical Topology
cites work: Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry
cites work: Q3871487
cites work: Q5547252
cites work: Q3866809
cites work: Simplicial complexes of graphs
cites work: Eliminating Tverberg Points, I. An Analogue of the Whitney Trick
cites work: On the Chern classes of the regular representations of some finite groups
cites work: Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
cites work: Q4528987
cites work: A Generalized van Kampen-Flores Theorem
cites work: Torsion in the matching complex and chessboard complex
cites work: A Vietoris Mapping Theorem for Homotopy
cites work: Equal coefficients and tolerance in coloured Tverberg partitions
cites work: Transformation groups
cites work: A Generalization of Radon's Theorem
cites work: Komplexe in euklidischen Räumen
cites work: On a topological generalization of the Tverberg theorem
cites work: On the van Kampen-Flores theorem
cites work: Q4320824
cites work: The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
cites work: Q3001813
cites work: User's guide to equivariant methods in combinatorics. II
cites work: The colored Tverberg's problem and complexes of injective functions
Recommended article: On a topological generalization of the Tverberg theorem
Recommended article: The topological Tverberg theorem and related topics
Recommended article: Topological Tverberg Theorem: the proofs and the counterexamples
Recommended article: Notes on the topological Tverberg theorem
Recommended article: Torelli's theorem from the topological point of view
Recommended article: A user's guide to the topological Tverberg conjecture
Recommended article: A topological version of Bertini's theorem
Recommended article: A Homology Version of the Borsuk-Ulam Theorem
Recommended article: TOPOLOGICAL ASPECTS OF THE DVORETZKY THEOREM
Recommended article: The topological Tverberg theorem and winding numbers
description: scientific article; zbMATH DE number 6843448