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- W2126598296 abstract "We give a characterization of piecewise C 1 class P-homeomorphism f of the circle with irrational rotation number and finitely many break points which is piecewise C 1 conjugate to a C 1-diffeomorphism. The following properties are equivalent: (i) f is conjugate to a C 1-diffeomorphism of the circle by a piecewise C 1-homeomorphism. (ii) The product of jumps of f in the break points contained in a same orbit is trivial. (iii) f is conjugate to a C 1-diffeomorphism of the circle by a piecewise linear (PL)-homeomorphism or a piecewise quadratic homeomorphism. For a PL-homeomorphism f having the property (ii): f is conjugate to a rotation either by a PL-homeomorphism or by a piecewise analytic homeomorphism." @default.
- W2126598296 created "2016-06-24" @default.
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- W2126598296 date "2012-06-01" @default.
- W2126598296 modified "2023-09-27" @default.
- W2126598296 title "On piecewise smoothness of conjugacy of classPcircle homeomorphisms to diffeomorphisms and rotations" @default.
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- W2126598296 doi "https://doi.org/10.1080/14689367.2011.638275" @default.
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