Un theoreme de Kurosh pour les relations d'equivalence boreliennes

TL;DR

This paper extends the classical Kurosh theorem to the setting of countable Borel equivalence relations, describing the structure of sub-relations within free product relations.

Contribution

It provides an analog of Kurosh's theorem for Borel equivalence relations, revealing their sub-structure in free products.

Findings

Established a Kurosh-type decomposition for sub-relations

Characterized sub-relations in free product Borel equivalence relations

Enhanced understanding of the structure of Borel equivalence relations

Abstract

We prove a analog of Kurosh theorem for countable Borel equivalence relations giving the structure of sub-relations in free products.