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arXiv · 1409.8637

Generalizations of Tucker-Fan-Shashkin lemmas

Oleg R. Musin
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Abstract

Tucker and Ky Fan's lemma are combinatorial analogs of the Borsuk-Ulam theorem (BUT). In 1996, Yu. A. Shashkin proved a version of Fan's lemma, which is a combinatorial analog of the odd mapping theorem (OMT). We consider generalizations of these lemmas for BUT-manifolds, i.e. for manifolds that satisfy BUT. Proofs rely on a generalization of the OMT and on a lemma about the doubling of manifolds with boundaries that are BUT-manifolds.

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Oleg R. Musin. 2016-04-25. Generalizations of Tucker-Fan-Shashkin lemmas. https://arxiv.org/abs/1409.8637

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