A topological proof of Ky Fan's covering lemma
Combinatorics
2025-07-31 v1 Algebraic Topology
Abstract
We give an intuitive combinatorial proof of Ky Fan's covering lemma based on the Borsuk-Ulam theorem. We then show how this approach can be generalized to Ky Fan's covering lemma for several linear orders.
Keywords
Cite
@article{arxiv.2507.22184,
title = {A topological proof of Ky Fan's covering lemma},
author = {Bogdan Chornomaz},
journal= {arXiv preprint arXiv:2507.22184},
year = {2025}
}