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A generalization of the Poincaré-Birkhoff theorem

Author: H. E. Winkelnkemper
Journal: Proc. Amer. Math. Soc. 102 (1988), 1028-1030
MSC: Primary 55M20; Secondary 58F25
MathSciNet review: 934887
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Abstract: We substitute Poincaré's twist hypothesis by the weakest possible topological one: that the homeomorphism in question not be conjugate to a translation.

References [Enhancements On Off] (What's this?)

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  • [3] P. H. Carter, An improvement of the Poincaré-Birkhoff fixed point theorem, Trans. Amer. Math. Soc. 269 (1981), 285-299. MR 637039 (84h:54041)
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Keywords: Fixed point, homeomorphism, topologically conjugate, Brouwer's translation theorem
Article copyright: © Copyright 1988 American Mathematical Society

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