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An area preserving homeomorphism of T2 that is fixed point free but does not move any essential simple closed curve off itself
Published online by Cambridge University Press: 19 September 2008
Abstract
We construct an area preserving homeomorphism ƒ: T2→T2 that is isotopic to the identity and fixed point free, but has the property that every essential simple closed curve C satisfies ƒ(C)∩C ≠ Ø. This answers a question of Guillou.
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- Copyright © Cambridge University Press 1992
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