A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma

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dc.creatorPrescott, Timothy
dc.creatorSu, Francis Edward
dc.date2003-10-28
dc.date.accessioned2026-07-07T06:33:36Z
dc.date.available2026-07-07T06:33:36Z
dc.descriptionWe present a constructive proof of Ky Fan's combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of $S^n$ that contain a flag of hemispheres. As a consequence, we produce a constructive proof of Tucker's lemma that holds for a larger class of triangulations than previous constructive proofs.
dc.descriptionrelated work at http://www.math.hmc.edu/~su/papers.html
dc.identifierhttps://arxiv.org/abs/math/0310444
dc.identifierhttp://arxiv.org/abs/math/0310444
dc.identifierJ. Combin. Theory Ser. A 111 (2005), 257--265
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99251
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subjectPrimary 55M20; Secondary 05A99, 52B70
dc.titleA Constructive Proof of Ky Fan's Generalization of Tucker's Lemma
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