Browsing by Author "Živaljević, Rade"

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    Ky Fan Theorem for Sphere Bundles
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2024) Panina, Gaiane; Živaljević, Rade
    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.