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A combinatorial result on points and circles on the plane

โœ Scribed by V. Neumann-Lara; J. Urrutia


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
637 KB
Volume
69
Category
Article
ISSN
0012-365X

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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