论文标题
关于测量理论迪博尼分区的注释
A note on measure-theoretic domatic partitions
论文作者
论文摘要
我们表明,如果$(x,μ)$是标准概率空间,那么每$ x $ x $上的每$ $ $ $ \ aleph_0 $ regular borel Graph都承认$μ$ $ $ $ $ $ $ \ aleph_0 $ colloking在其附近的每一个颜色中都有颜色。
We show that if $(X,μ)$ is a standard probability space, then every $μ$-preserving $\aleph_0$-regular Borel graph on $X$ admits a $μ$-measurable vertex $\aleph_0$-coloring in which every vertex sees every color in its neighborhood.