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

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

2003-10-28

arxiv.org/abs/math/0310444v1

J. Combin. Theory Ser. A 111 (2005), 257--265

Mathematics

Combinatorics

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

Scientific paper

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.

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