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arXiv:2302.14492 [math.AT]AbstractReferencesReviewsResources

On covering dimension and sections of vector bundles

M. C. Crabb

Published 2023-02-28Version 1

An elementary result in point-set topology is used, with knowledge of the mod $2$ cohomology of real projective spaces, to establish classical results of Lebesgue and Knaster-Kuratowski-Mazurkiewicz, as well as the topological central point theorem of Karasev, which is applied to deduce results of Helly-Lov\'asz, B\'ar\'any and Tverberg

Categories: math.AT
Subjects: 55R25, 54F45, 55M10, 55R40, 55M30
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