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On Denjoy’s theorem for endomorphisms. (English) Zbl 0657.58018
In this paper we give an extension to \(C^ 2\)-endomorphisms of the circle of the well known Denjoy’s theorem on \(C^ 2\)-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.

MSC:
37B99 Topological dynamics
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
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