Abstract
By the Thurston Stability Theorem, a group of 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 diffeomorphisms.
Citation
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
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