Student Co-author

HMC Undergraduate

Document Type

Article - preprint

Department

Mathematics (HMC)

Publication Date

8-2005

Abstract

We present a proof of Ky Fan's combinatorial lemma on labellings of triangulated spheres that differs from earlier proofs in that it is constructive. We slightly generalize the hypotheses of Fan's lemma to allow for triangulations of Sn that contain a flag of hemispheres. As a consequence, we can obtain a constructive proof of Tucker's lemma that holds for a more general class of triangulations than the usual version.

Comments

Author's pre-print manuscript available for download.

For the publisher's version, please visit http://dx.doi.org/10.1016/j.jcta.2004.12.005.

Rights Information

© 2005 Elsevier

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