= Blumberg theorem
{wiki=Blumberg_theorem}
Blumberg's theorem is a result in the field of mathematical analysis, particularly in the area of measure theory. It provides a criterion for a subset of a complete metric space to be measurable. More specifically, the theorem states that in a complete metric space, if a subset is a countable union of closed sets, it is measurable if it is "small" in a certain sense—specifically, if it has a "density" that approaches 1 in certain limits.
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