References & Citations
Mathematics > Algebraic Topology
Title: On covering dimension and sections of vector bundles
(Submitted on 28 Feb 2023 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: 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
Submission history
From: Michael Crabb [view email][v1] Tue, 28 Feb 2023 11:19:25 GMT (9kb)
[v2] Wed, 27 Mar 2024 14:49:29 GMT (10kb)
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