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The number of periodic points of smooth maps†

Published online by Cambridge University Press:  19 September 2008

Takashi Matsuoka
Takashi Matsuoka
Affiliation:
Department of Mathematics, Naruto University of Education, Naruto, Tokushima 772, Japan
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Abstract

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Letf: M → M be a C1 map on a compact manifold. We give a topological condition under which f has an even number of periodic points with a given period. We also obtain a sufficient condition, in terms of homology, for ƒ to have infinitely many periodic points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 9 , Issue 1 , March 1989 , pp. 153 - 163
Copyright
Copyright © Cambridge University Press 1989

References

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