Published 2008
| Published
Journal Article
Open
Nonsmoothable, locally indicable group actions on the interval
- Creators
- Calegari, Danny
Chicago
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Abstract
By the Thurston Stability Theorem, a group of C^1 orientation-preserving diffeomorphisms of the closed unit interval is locally indicable. We show that the local order structure of orbits gives a stronger criterion for nonsmoothability that can be used to produce new examples of locally indicable groups of homeomorphisms of the interval that are not conjugate to groups of C^1 diffeomorphisms.
Additional Information
© Copyright 2008 Algebraic & Geometric Topology. Received December 3 2007. Accepted March 1 2008. Published May 22 2008. This note was inspired by a comment in a lecture by Andrés Navas. I would like to thank Andrés for his encouragement to write it up. I would also like to thank the referee, whose many excellent comments have been incorporated into this paper. Mathematical subject classification: Primary: 37C85, Secondary 37E05.Attached Files
Published - Calegari2008p4730Algebr_Geom_Topol.pdf
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Additional details
- Eprint ID
- 15390
- Resolver ID
- CaltechAUTHORS:20090828-094355897
- Created
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2009-09-14Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field