14 citations · 29 across the 16 of their papers we have counts for
5 papers · 1 filter
Spatial models for boolean actions in the infinite measure-preserving setup
Fabien Hoareau, François Le Maître
We show that up to a null set, every infinite measure-preserving action of a locally compact Polish group can be turned into a continuous measure-preserving action on a locally com…
On dense orbits in the space of subequivalence relations
François Le Maître
We first explain how to endow the space of subequivalence relations of any non-singular countable equivalence relation with a Polish topology, extending the framework of Kechris' r…
On a measurable analogue of small topological full groups
François Le Maître
We initiate the study of a measurable analogue of small topological full groups that we call full groups. These groups are endowed with a Polish group topology which…
On full groups of non ergodic probability measure preserving equivalence relations
François Le Maître
We give a formula relating the topological rank of the full group of an aperiodic pmp equivalence relation to the cost of its ergodic components. Furthermore, we obtain examples of…
The number of topological generators for full groups of ergodic equivalence relations
François Le Maître
We completely elucidate the relationship between two invariants associated with an ergodic probability measure-preserving (pmp) equivalence relation, namely its cost and the minima…