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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.

Information

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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