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arXiv · 1312.6563

Generic elements in isometry groups of Polish ultrametric spaces

Maciej Malicki
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Abstract

This paper presents a study of generic elements in full isometry groups of Polish ultrametric spaces. We obtain a complete characterization of Polish ultrametric spaces X whose isometry group Iso(X) contains an open subgroup H with ample generics. It also gives a characterization of the existence of an open subgroup in Iso(X) with a comeager conjugacy class. We also study the transfinite sequence defined by the projection of a Polish ultrametric space X on the ultrametric space of orbits of X under the action of Iso(X).

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Maciej Malicki. 2015-04-15. Generic elements in isometry groups of Polish ultrametric spaces. https://arxiv.org/abs/1312.6563

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