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Showing 1 to 1 of 1 for “"ample generics"”.
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Dynamics of Polish groups
… all homeomorphisms of the Cantor set H(2^N) has ample generics, that is, we show that for every m the diagonal conjugacy action g\cdot (h_1, h_2,...,h_m) = (gh_1g^{-1}, gh_2g^{-1},..., gh_mg^{-1}) of H(2^N) on H(2^N)^m has a comeager orbit. This answers a question of Kechris and Rosendal. We …