Topological conjugacy of circle diffeomorphisms

The classical criterion for a circle diffeomorphism to be topologically conjugate to an irrational rigid rotation was given by Denjoy [ 1 ]. In [ 5 ] one of us gave a new criterion. There is an example satisfying Denjoy's bounded variation condition rather than the Zygmund condition of [ 5 ], and vice versa. This paper will give the third criterion which is implied by either of the above criteria.

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