2024/04/07 by Gaiane Panina, Panina, Gaiane, Rade T. Živaljević +1
Mathematics · #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2404.04806
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 Sn. 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.