No CrossRef data available.
Article contents
Characterization of MorseSmale isotopy classes on surfaces
Published online by Cambridge University Press: 19 September 2008
Abstract
In this paper we use Thurston's work on the dynamics of diffeomorphisms on surfaces to show that a diffeomorphism ƒ on a surface is isotopic to a Morse- Smale one if and only if the growth rate of the length of the words representing elements of the fundamental group under iteration by ƒ is one. Morse-Smale isotopy classes are also shown to be the same as Nielsen's algebraically finite type.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 1985