Universally measurable set

（重定向自Universally measurable）

In mathematics, a subset $A$ of a Polish space $X$ is universally measurable if it is measurable with respect to every complete probability measure on $X$ that measures all Borel subsets of $X$ . In particular, a universally measurable set of reals is necessarily Lebesgue measurable (see #Finiteness condition) below.

单词	Universally measurable
释义	Universally measurable 英语百科 Universally measurable set （重定向自Universally measurable） In mathematics, a subset $A$ of a Polish space $X$ is universally measurable if it is measurable with respect to every complete probability measure on $X$ that measures all Borel subsets of $X$ . In particular, a universally measurable set of reals is necessarily Lebesgue measurable (see #Finiteness condition) below.
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