arXiv subjects

Adriane Kaïchouh

Publications and source records attributed to Adriane Kaïchouh.

3 recordsLinked to original sources

arXiv2015

Connected Polish groups with ample generics

In this paper, we give the first examples of connected Polish groups that have ample generics, answering a question of Kechris and Rosendal. We show that any Polish group with ample generics embeds into a connected Polish group with ample generics and that full groups of type III hyperfinite ergodic equivalence relations have ample generics. We also sketch a proof of the following result: the full group of any type III ergodic equivalence relation has topological rank 2.

math.GR↗

arXiv2014

Reconstruction of separably categorical metric structures

We extend Ahlbrandt and Ziegler's reconstruction results to the metric setting: we show that separably categorical metric structures are determined, up to bi-interpretability, by their automorphism groups.

math.LO↗

arXiv2013

Amenability and Ramsey theory in the metric setting

Moore characterized the amenability of automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to automorphism groups of metric Fraïssé structures, which encompass all Polish groups. As an application, we prove that amenability is a G_delta condition.

math.LO↗