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Smale diffeomorphisms and surface topology

Published online by Cambridge University Press:  19 September 2008

Steve Batterson  and
John Smillie
Steve Batterson
Affiliation:
Department of Mathematics, Emory University, Atlanta, Georgia 30322, USA
John Smillie
Affiliation:
Department of Mathematics, Herbert H. Lehman College, CUNY, Bronx, NY 10468, USA and Mathematical Sciences Research Institute, University of California, Berkeley, CA 94720, USA
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Abstract

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This paper concerns Smale diffeomorphisms of compact oriented surfaces. Relationships are found between the isotopy class of the map and the dynamics of its basic sets. The form of the dynamical properties involves restrictions on periods and reduced zeta functions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 4 , December 1985 , pp. 519 - 529
Copyright
Copyright © Cambridge University Press 1985

References

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