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arXiv · 0802.2707

Nonsmoothable, locally indicable group actions on the interval

Danny Calegari
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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.

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Danny Calegari. 2008-02-19. Nonsmoothable, locally indicable group actions on the interval. https://doi.org/10.2140/agt.2008.8.609

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