When is {f=a} measurable but f is not? Is this one of the times that including infinity is problematic? I'm trying to understand the definition of measurable function.
Converse of f measurable $\Rightarrow \forall a, ${f=a} is measurable is false?
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measure-theory
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0Do you mean $\{f=a\}$ measurable for all $a$? – 2012-09-21
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0Yes. I will add that. – 2012-09-21