The coloured Tverberg theorem, extensions and new results

Autor:	Duško Jojić, Rade T. Živaljević, Gaiane Panina
Rok vydání:	2022
Předmět:	Discrete mathematics Mathematics::Combinatorics Colored General Mathematics Discrete Morse theory Equivariant map Configuration space Mathematics::Algebraic Topology Mathematics
Zdroj:	Izvestiya: Mathematics. 86:275-290
ISSN:	1468-4810 1064-5632
DOI:	10.1070/im9024
Popis:	We prove amultiple coloured Tverberg theoremand abalanced coloured Tverberg theorem, applying different methods, tools and ideas. The proof of the first theorem uses a multiple chessboard complex (as configuration space) and the Eilenberg–Krasnoselskii theory of degrees of equivariant maps for non-free group actions. The proof of the second result relies on the high connectivity of the configuration space, established by using discrete Morse theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a6ad4317c8e20da9febe4417e88299af https://doi.org/10.1070/im9024 Zobrazit plný text záznamu