Tverberg's theorem for cell complexes

Sho Hasui, Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya

研究成果: ジャーナルへの寄稿学術誌査読

1 被引用数 (Scopus)


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.

ジャーナルBulletin of the London Mathematical Society
出版ステータス印刷中 - 2023

!!!All Science Journal Classification (ASJC) codes

  • 数学 (全般)


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