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2008 Nonsmoothable, locally indicable group actions on the interval
Danny Calegari
Algebr. Geom. Topol. 8(1): 609-613 (2008). DOI: 10.2140/agt.2008.8.609

Abstract

By the Thurston Stability Theorem, a group of C1 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 C1 diffeomorphisms.

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Danny Calegari. "Nonsmoothable, locally indicable group actions on the interval." Algebr. Geom. Topol. 8 (1) 609 - 613, 2008. https://doi.org/10.2140/agt.2008.8.609

Information

Received: 3 December 2007; Revised: 1 March 2008; Accepted: 1 March 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1154.37015
MathSciNet: MR2443241
Digital Object Identifier: 10.2140/agt.2008.8.609

Subjects:
Primary: 37C85
Secondary: 37E05

Rights: Copyright © 2008 Mathematical Sciences Publishers

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