Nonsmoothable, locally indicable group actions on the interval
Dynamical Systems
2014-10-01 v1 Group Theory
Geometric Topology
Abstract
By the Thurston stability theorem, a group of C^1 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 C^1 diffeomorphisms.
Cite
@article{arxiv.0802.2707,
title = {Nonsmoothable, locally indicable group actions on the interval},
author = {Danny Calegari},
journal= {arXiv preprint arXiv:0802.2707},
year = {2014}
}
Comments
4 pages, 1 figure