Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 8, Number 1 (2008), 609-613.
Nonsmoothable, locally indicable group actions on the interval
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.
Algebr. Geom. Topol., Volume 8, Number 1 (2008), 609-613.
Received: 3 December 2007
Revised: 1 March 2008
Accepted: 1 March 2008
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 37C85: Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]
Secondary: 37E05: Maps of the interval (piecewise continuous, continuous, smooth)
Calegari, Danny. Nonsmoothable, locally indicable group actions on the interval. Algebr. Geom. Topol. 8 (2008), no. 1, 609--613. doi:10.2140/agt.2008.8.609. https://projecteuclid.org/euclid.agt/1513796825