The coloured Tverberg theorem, extensions and new results
- 作者: Joji´c D.1, Panina G.Y.2,3, Živaljević R.T.4
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隶属关系:
- University of Banja Luka
- St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
- Saint Petersburg State University
- Mathematical Institute, Serbian Academy of Sciences and Arts
- 期: 卷 86, 编号 2 (2022)
- 页面: 62-79
- 栏目: Articles
- URL: https://ogarev-online.ru/1607-0046/article/view/142260
- DOI: https://doi.org/10.4213/im9024
- ID: 142260
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详细
We prove a multiple coloured Tverberg theorem and a balanced coloured Tverbergtheorem, applying different methods, tools and ideas. The proof of the first theorem uses a multiplechessboard complex (as configuration space) and the Eilenberg–Krasnoselskii theory ofdegrees of equivariant maps for non-free group actions. The proof of the second result relies onthe high connectivity of the configuration space, established by using discrete Morse theory.
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作者简介
Duško Joji´c
University of Banja Luka
Email: ducci68@blic.net
Gaiane Panina
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences; Saint Petersburg State University
Email: gaiane-panina@rambler.ru
Doctor of physico-mathematical sciences, no status
Rade Živaljević
Mathematical Institute, Serbian Academy of Sciences and Arts
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