Colored Tverberg problem, extensions and new results
Metric Geometry
2020-02-24 v1 Algebraic Topology
Combinatorics
Abstract
We prove a "multiple colored Tverberg theorem" and a "balanced colored Tverberg theorem", by applying different methods, tools and ideas. The proof of the first theorem uses multiple chessboard complexes (as configuration spaces) and Eilenberg-Krasnoselskii theory of degrees of equivariant maps for non-free actions. The proof of the second result relies on high connectivity of the configuration space, established by discrete Morse theory.
Cite
@article{arxiv.2002.09186,
title = {Colored Tverberg problem, extensions and new results},
author = {Duško Jojić and Gaiane Panina and Rade T. Živaljević},
journal= {arXiv preprint arXiv:2002.09186},
year = {2020}
}