On Denjoy's theorem for endomorphisms

I. Malta
1986 Ergodic Theory and Dynamical Systems  
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.
doi:10.1017/s0143385700003436 fatcat:ahdoro6iurhf5mxch5e5o3sk3a