Geodesic
Nonsmoothable, locally indicable group actions on the interval
Calegari, Danny1
1Department of Mathematics, California Institute of Technology, Pasadena CA 91125, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 609-613
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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.

DOI : 10.2140/agt.2008.8.609
Keywords: group action, smoothable, interval, Thurston stability theorem, order structure

Calegari, Danny  1

1 Department of Mathematics, California Institute of Technology, Pasadena CA 91125, USA 
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Calegari, Danny. Nonsmoothable, locally indicable group actions on the interval. Algebraic and Geometric Topology, Tome 8 (2008) no. 1, pp. 609-613. doi: 10.2140/agt.2008.8.609

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