An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.

Chernousov, Vladimir

Displaying similar documents to “An alternative proof of Scheiderer's theorem on the Hasse principle for principal homogeneous spaces.”

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We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not...