Authors: Jojić, Duško
Panina, Gaiane Yu
Živaljević, Rade 
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: The coloured Tverberg theorem, extensions and new results
Journal: Izvestiya Mathematics
Issue Date: 1-Apr-2022
Rank: ~M21
ISSN: 1064-5632
DOI: 10.1070/IM9024
Abstract: 
We prove a multiple coloured Tverberg theorem and a balanced 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.
Keywords: chessboard complex | equivariant map | Tverberg theorem
Publisher: Institute of Physics Publishing

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