Bulletin of the Australian Mathematical Society

Research Article

Generalizations of the Poincaré Birkhoff fixed point theorem

Walter D. Neumanna1

a1 Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA.


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.

(Received June 27 1977)