Constructing Smale diffeomorphisms on compact surfaces

Author:
Steve Batterson

Journal:
Trans. Amer. Math. Soc. **257** (1980), 237-245

MSC:
Primary 58F15; Secondary 34Cxx

DOI:
https://doi.org/10.1090/S0002-9947-1980-0549164-1

MathSciNet review:
549164

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Abstract: A necessary condition for an isotopy class on a compact surface to admit a Smale diffeomorphism whose dynamics are a specified set of subshifts of finite type is that the Euler characteristic of the manifold be equal to a sum and difference of certain numbers obtained from the matrices representing the subshifts. In this paper it is shown that this condition is sufficient up to a finite power of the subshifts.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1980-0549164-1

Article copyright:
© Copyright 1980
American Mathematical Society