Work

The Borel Ramsey properties for countable Borel equivalence relations

Year: 2025

Type: article

Abstract: We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17340

Authors: Su Gao, Ming Xiao

Institution: Nankai University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G2480368741, G869186581