Generic elements in isometry groups of Polish ultrametric spaces
Group Theory
2015-04-16 v2
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).
Keywords
Cite
@article{arxiv.1312.6563,
title = {Generic elements in isometry groups of Polish ultrametric spaces},
author = {Maciej Malicki},
journal= {arXiv preprint arXiv:1312.6563},
year = {2015}
}