On the simplicity of homeomorphism groups of a tilable lamination
classification
🧮 math.DS
keywords
grouphomeomorphismslaminationcasecomponentd-tilabledensedimensional
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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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