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On Denjoy's theorem for endomorphisms

Published online by Cambridge University Press:  19 September 2008

I. Malta
I. Malta
Affiliation:
Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente, 225, 22453—Rio de Janeiro—Brasil
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Abstract

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In this paper we give an extension to C2 endomorphisms of the circle of the well known Denjoy's theorem on C2 diffeomorphisms. We also give a simple proof of an extension of Block and Franke's theorem on the existence of periodic points for maps of the circle.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 2 , June 1986 , pp. 259 - 264
Copyright
Copyright © Cambridge University Press 1986

References

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