Edward Hou

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20222026

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math.LO2022

A note on measure-theoretic domatic partitions

Edward Hou

We show that if $(X, μ)$ is a standard probability space, then every $μ$ -preserving $ℵ_{0}$ -regular Borel graph on $X$ admits a $μ$ -measurable vertex $ℵ_{0}$ -coloring in which…

math.LO2022

Measurable domatic partitions

Edward Hou

Let $Γ$ be a compact Polish group of finite topological dimension. For a countably infinite subset $S \subseteq Γ$ , a domatic $ℵ_{0}$ -partition (for its Schreier graph on $Γ$ ) is…