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Generalizations of the Poincaré Birkhoff fixed point theorem

Published online by Cambridge University Press:  17 April 2009

Walter D. Neumann
Walter D. Neumann
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA.
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Abstract

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It is shown how George D. Birkhoff's proof of the Poincaré Birkhoff theorem can be modified using ideas of H. Poincaré to give a rather precise lower bound on the number of components of the set of periodic points of the annulus. Some open problems related to this theorem are discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 3 , December 1977 , pp. 375 - 389
Copyright
Copyright © Australian Mathematical Society 1977

References

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