Theorems of Borsuk-ulam Type for Flats and Common Transversals
نویسنده
چکیده
In this paper some results on the topology of the space of k-flats in Rn are proved, similar to the Borsuk-Ulam theorem on coverings of sphere. Some corollaries on common transversals for families of compact sets in Rn, and on measure partitions by hyperplanes, are deduced.
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