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Published 2008 | Published
Journal Article Open

Nonsmoothable, locally indicable group actions on the interval

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.

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August 22, 2023
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