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A fixed point theorem for the Weak Kleene valuation scheme

✍ Scribed by Anil Gupta; Robert L. Martin


Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
254 KB
Volume
13
Category
Article
ISSN
0022-3611

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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