Panina, Gaiane Yu
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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checked on Aug 10, 2022
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