Tverberg’s theorem for cell complexes
演讲者
Daisuke Kishimoto
时间
2022年09月23日 10:30 至 11:30
地点
Online
线上
Zoom 293 812 9202
(BIMSA)
摘要
Tverberg’s theorem states that any affine map from (d+1)(r-1)-simplex into the Euclidean d-space, there are pairwise disjoint faces of the simplex whose image in the Euclidean space have a point in common. A topological generalization which replace an affine map with a continuous map is known to hold as long as r is a prime power. We further generalize the topological version to a continuous map out of a certain CW complex including a simplicial sphere. A key is a homotopy decomposition of a discretized configuration space.
This is joint work with S. Hasui, M. Takeda, and M. Tsutaya.