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Nonsmoothable, locally indicable group actions on the
interval
Danny Calegari
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Algebraic & Geometric Topology 8
(2008) 609–613
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Abstract
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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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Keywords
group action, smoothable, interval,
Thurston stability theorem, order structure
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Mathematical Subject Classification
Primary: 37C85
Secondary: 37E05
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Publication
Received: 3 December 2007
Revised: 1 March 2008
Accepted: 1 March 2008
Published: 22 May 2008
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