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.
ISSN: 1468-4810
Izvestiya: Mathematics is the English edition of the Russian bimonthly journal Izvestiya Rossiiskoi Akademii Nauk, Seriya Matematicheskaya, founded in 1937. Izvestiya: Mathematics has been published in partnership with Turpion Ltd since 1995. The journal publishes only original research papers containing full results in the author's field of study.
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