A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma
Combinatorics
2007-05-23 v1 Algebraic Topology
Abstract
We present a constructive proof of Ky Fan's combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of 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.
Keywords
Cite
@article{arxiv.math/0310444,
title = {A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma},
author = {Timothy Prescott and Francis Edward Su},
journal= {arXiv preprint arXiv:math/0310444},
year = {2007}
}
Comments
related work at http://www.math.hmc.edu/~su/papers.html