Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T01:05:33.006Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)