On the simplicity of homeomorphism groups of a tilable lamination

2014/08/06 by José Aliste-Prieto, Aliste-Prieto, José, Samuel Petite +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1408.1337

14 p

arxiv created 2014/08/06 · arxiv updated 2014/08/07

Abstract

We show that the identity component of the group of homeomorphisms that preserve all leaves of a R^d-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain a similar result for a dense subgroup of homeomorphisms.

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