Colored Tverberg problem, extensions and new results

Autor: Jojić, Duško, Panina, Gaiane, Živaljević, Rade T.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv