@article{32e041ffbaaf4e53ac5a5e788948e067,
title = "Tverberg's theorem for cell complexes",
abstract = "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.",
author = "Sho Hasui and Daisuke Kishimoto and Masahiro Takeda and Mitsunobu Tsutaya",
note = "Funding Information: We are grateful to the referees for useful comments. Especially, they informed us of the result of Halin and Jung [ 17 ] that leads to Proposition 5.5 , where this proposition was not in the earlier version. This work was partly supported by JSPS KAKENHI, Grant Numbers: JP18K13414 (Hasui), JP17K05248 and JP19K03473 (Kishimoto), JP21J10117 (Takeda), and JP19K14535 (Tsutaya). Publisher Copyright: {\textcopyright} 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2023",
doi = "10.1112/blms.12829",
language = "English",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
}