Geodesic
The coloured Tverberg theorem, extensions and new results
Izvestiya. Mathematics , Tome 86 (2022) no. 2, pp. 275-290

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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: Tverberg theorem, chessboard complex
Mots-clés : equivariant map. 
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     title = {The coloured {Tverberg} theorem, extensions and new results},
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D. Jojic; G. Yu. Panina; R. Živaljević. The coloured Tverberg theorem, extensions and new results. Izvestiya. Mathematics , Tome 86 (2022) no. 2, pp. 275-290. http://geodesic.mathdoc.fr/item/IM2_2022_86_2_a3/