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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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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DOI: https://doi.org/10.1090/S0002-9947-1980-0549164-1
Article copyright: © Copyright 1980 American Mathematical Society