Nonsmoothable, locally indicable group actions on the interval
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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