Tverberg's theorem for cell complexes
Sho Hasui, Daisuke Kishimoto, Masahiro Takeda, Mitsunobu Tsutaya · Bulletin of the London Mathematical Society · 2023
Abstract The topological Tverberg theorem states that any continuous map of a ‐simplex into the Euclidean ‐space maps some points from pairwise disjoint faces of the simplex to the same point whenever is a prime power. We substantially generalize this theorem to continuous maps of certain CW complexes, including simplicial ‐spheres, into the Euclidean ‐space. We also discuss the atomicity of the Tverberg property.