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A combinatorial proof of a fixed point property

โœ Scribed by Kenneth Baclawski


Book ID
113698828
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
319 KB
Volume
119
Category
Article
ISSN
0097-3165

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Combinatorial Proofs of the Conley-Zehnd
โœ S. Alpern; V.S. Prasad ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 428 KB

We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec