List questions from measure-theory

Published on 14 Apr 2026 - 7:50

136

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Does there exists a set which has the exterior measure,but doesn't Lebesgue measurable?

Published on 25 Mar 2026 - 3:03

303

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Null sets w.r.t. product measure

Published on 14 Apr 2026 - 18:42

206

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Measure is sigma-finite

Published on 12 Apr 2026 - 13:47

204

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Prove limit exists in $L^1$ and poinwise

Published on 16 Apr 2026 - 3:34

158

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Hausdorff measure (property)

Published on 04 May 2026 - 21:13

138

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Integration/measure theory "paradox"?

Published on 09 Apr 2026 - 0:51

208

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Lebesgue integral of a sequence of floor functions

Published on 13 Apr 2026 - 9:59

376

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Clarification on a proof of Roth's theorem

Published on 25 Mar 2026 - 1:23

973

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If the area under graph of $f$ is measurable then $f$ is measurable

Published on 17 Apr 2026 - 9:23

40

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Uniform convergence of measures with an absolute continuity assumption

Published on 22 Apr 2026 - 1:26

174

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Example of conditional expectation under finite probability space

Published on 14 Apr 2026 - 14:26

1.8k

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Is the $\sigma$-algebra generated by closed rectangles Borel $\sigma$-algebra?

Published on 14 Apr 2026 - 2:33

1.9k

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A simple function and its canonical form.

Published on 24 Apr 2026 - 7:30

47

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Prove that $\mu \otimes \lambda(C)=\int f d\mu$

Published on 13 Apr 2026 - 19:12

List Question

Prove Sequence of Functions Converges in Measure

Does there exists a set which has the exterior measure,but doesn't Lebesgue measurable?

Null sets w.r.t. product measure

Measure is sigma-finite

Prove limit exists in $L^1$ and poinwise

Hausdorff measure (property)

Integration/measure theory "paradox"?

Lebesgue integral of a sequence of floor functions

Clarification on a proof of Roth's theorem

If the area under graph of $f$ is measurable then $f$ is measurable

Uniform convergence of measures with an absolute continuity assumption

Example of conditional expectation under finite probability space

Is the $\sigma$-algebra generated by closed rectangles Borel $\sigma$-algebra?

A simple function and its canonical form.

Prove that $\mu \otimes \lambda(C)=\int f d\mu$

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