Theorems of Borsuk-Ulam type for flats and common transversals - Mathematics > CombinatoricsReport as inadecuate




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Abstract: In this paper some results on the topology of the space of $k$-flats in$\mathbb R^n$ are proved, similar to the Borsuk-Ulam theorem on coverings ofsphere. Some corollaries on common transversals for families of compact sets in$\mathbb R^n$, and on measure partitions by hyperplanes, are deduced.



Author: R.N. Karasev

Source: https://arxiv.org/







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