Full groups of minimal homeomorphisms and Baire category methods
نویسندگان
چکیده
منابع مشابه
Full groups of minimal homeomorphisms and Baire category methods
We study full groups of minimal actions of countable groups by homeomorphisms on a Cantor space X, showing that these groups do not admit a compatible Polish group topology and, in the case of Z-actions, are coanalytic nonBorel inside Homeo(X). We point out that the full group of a minimal homeomorphism is topologically simple. We also study some properties of the closure of the full group of a...
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We study full groups ofminimal actions of countable groups by homeomorphisms on a Cantor space X, showing that these groups do not admit a compatible Polish group topology and, in the case of Z-actions, are coanalytic non-Borel inside Homeo(X). We then focus on the closure of the full group of a uniquely ergodic homeomorphism, elucidating underwhich conditions this group has a comeager (or, equ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2014
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2014.75