Ky Fan theorem for sphere bundles
Combinatorics
2024-04-09 v1 Algebraic Topology
Abstract
The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings of vertices of a triangulated sphere . Here we describe generalizations of Ky Fan theorem for the case when the sphere is replaced by the total space of a triangulated sphere bundle.
Cite
@article{arxiv.2404.04806,
title = {Ky Fan theorem for sphere bundles},
author = {Gaiane Panina and Rade Živaljević},
journal= {arXiv preprint arXiv:2404.04806},
year = {2024}
}