On covering dimension and sections of vector bundles
Algebraic Topology
2024-03-28 v2
Abstract
An elementary result in point-set topology is used, with knowledge of the mod 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
Keywords
Cite
@article{arxiv.2302.14492,
title = {On covering dimension and sections of vector bundles},
author = {M. C. Crabb},
journal= {arXiv preprint arXiv:2302.14492},
year = {2024}
}