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The forcing partial order on the three times punctureddisk

Published online by Cambridge University Press:  01 June 1997

MICHAEL HANDEL
MICHAEL HANDEL
Affiliation:
Department of Mathematics and Science, Lehman College, CUNY, Bedford Park Boulevard, Bronx, NY 10468-1589, USA
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Abstract

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The two-dimensional analogue of the Sharkovski order on periodsfor maps of the interval restricts to a partial order on essentialpseudo-Anosov conjugacy classes in the mapping class group ofthe $n$-times punctured disk. In this paper we give an explicitdescription of this restricted partial order in the case when $n=3$.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 3 , June 1997 , pp. 593 - 610
Copyright
1997 Cambridge University Press