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- W3029168478 abstract "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." @default.
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- W3029168478 date "2020-05-30" @default.
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- W3029168478 title "Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited" @default.
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- W3029168478 doi "https://doi.org/10.12775/tmna.2019.103" @default.
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