Tverberg's theorem for cell complexes

Sho Hasui; Daisuke Kishimoto; Masahiro Takeda; Mitsunobu Tsutaya

doi:10.1112/blms.12829

Tverberg's theorem for cell complexes

Sho Hasui, Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

代数幾何部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

2 被引用数 (Scopus)

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The topological Tverberg theorem states that any continuous map of a (Formula presented.) -simplex into the Euclidean (Formula presented.) -space maps some points from (Formula presented.) pairwise disjoint faces of the simplex to the same point whenever (Formula presented.) is a prime power. We substantially generalize this theorem to continuous maps of certain CW complexes, including simplicial (Formula presented.) -spheres, into the Euclidean (Formula presented.) -space. We also discuss the atomicity of the Tverberg property.

本文言語	英語
ページ（範囲）	1944-1956
ページ数	13
ジャーナル	Bulletin of the London Mathematical Society
巻	55
号	4
DOI	https://doi.org/10.1112/blms.12829
出版ステータス	出版済み - 8月 2023

!!!All Science Journal Classification (ASJC) codes

数学一般

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10.1112/blms.12829

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author = "Sho Hasui and Daisuke Kishimoto and Masahiro Takeda and Mitsunobu Tsutaya",

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AB - The topological Tverberg theorem states that any continuous map of a (Formula presented.) -simplex into the Euclidean (Formula presented.) -space maps some points from (Formula presented.) pairwise disjoint faces of the simplex to the same point whenever (Formula presented.) is a prime power. We substantially generalize this theorem to continuous maps of certain CW complexes, including simplicial (Formula presented.) -spheres, into the Euclidean (Formula presented.) -space. We also discuss the atomicity of the Tverberg property.

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JF - Bulletin of the London Mathematical Society

IS - 4

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Tverberg's theorem for cell complexes

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