query: Support of measurable function is measurable?
positive_passages.docid: 158122
positive_passages.text: If $f$ is measurable, then support of $f$ is measurable?
negative_passages.docid: 151707
negative_passages.text: Fatou's lemma and measurable sets
negative_passages.docid: 150968
negative_passages.text: Differentiable function has measurable derivative?
negative_passages.docid: 19452
negative_passages.text: Restriction of a Lebesgue integral to a subset of a measurable set.
negative_passages.docid: 60032
negative_passages.text: If the measure of union = sum of outer measures, then the sets are measurable
negative_passages.docid: 128332
negative_passages.text: Counterexample to "Measurable in each variable separately implies measurable"
negative_passages.docid: 79486
negative_passages.text: Does every hermitian operator represent a measurable quantity?
negative_passages.docid: 91126
negative_passages.text: A question about Measurable function
negative_passages.docid: 52104
negative_passages.text: A pseudometric on the space of the measurable functions is complete
negative_passages.docid: 24777
negative_passages.text: If $f$ is measurable and $fg$ is in $L^1$ for all $g \in L^q$, must $f \in L^p$?
negative_passages.docid: 146707
negative_passages.text: Formally show that the set of continuous functions is not measurable
negative_passages.docid: 93684
negative_passages.text: Show that $\mu (E \setminus A)>0$ if $A$ is a nonmeasurable subset of $X$ and $A \subseteq E$, $E$ is measurable.
negative_passages.docid: 148555
negative_passages.text: Prove that every Lebesgue measurable function is equal almost everywhere to a Borel measurable function
negative_passages.docid: 41937
negative_passages.text: Can one construct a non-measurable set without Axiom of choice?
negative_passages.docid: 98580
negative_passages.text: Lebesgue-measurable sets requiring the Axiom of Choice to construct
negative_passages.docid: 60988
negative_passages.text: Convergence in measure - product
negative_passages.docid: 100919
negative_passages.text: Examples of non-measurable sets in $\mathbb{R}$