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

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We 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.
related work at http://www.math.hmc.edu/~su/papers.html

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Combinatorics, Algebraic Topology, Primary 55M20; Secondary 05A99, 52B70

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http://salesiana.dossiersoluciones.com/handle/123456789/99251

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310444
 http://arxiv.org/abs/math/0310444
 J. Combin. Theory Ser. A 111 (2005), 257--265

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arXiv