Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited

Autor:	Chan, Yu Hin, Chen, Shujian, Frick, Florian, Hull, J. Tristan
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Topology Mathematics - Combinatorics 55M20 54H25
Druh dokumentu:	Working Paper
Popis:	We give a different and possibly more accessible proof of a general Borsuk--Ulam theorem for a product of spheres, originally due to Ramos. That is, we show the non-existence of certain $(\mathbb{Z}/2)^k$-equivariant maps from a product of $k$ spheres to the unit sphere in a real $(\mathbb{Z}/2)^k$-representation of the same dimension. Our proof method allows us to derive Borsuk--Ulam theorems for certain equivariant maps from Stiefel manifolds, from the corresponding results about products of spheres, leading to alternative proofs and extensions of some results of Fadell and Husseini. Comment: 8 pages, Topological Methods in Nonlinear Analysis, to appear
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.00935 Zobrazit plný text záznamu View this record from Arxiv