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Une remarque sur la structure des endomorphismes de degré 1 du cercle. (A remark on degree one endomorphisms of the circle). (French) Zbl 0584.58004

Let \(C^ r_ 1(T^ 1)\) be the set of endomorphisms of degree one of the circle \(T^ 1={\mathbb{R}}/{\mathbb{Z}}\), I(f) the rotation interval of f. The principal result: For each \(w\in I(f)\) there exists an orbit of this endomorphism which is ordered as the orbits of the rotation with rotation number w.

MSC:

58C06 Set-valued and function-space-valued mappings on manifolds
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics

Citations:

Zbl 0584.58003
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