Question

An example of a non $\mu^*$-measurable set under the projection function

score 117 · Answer 1 · 2026-03-26 10:59:53

117

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An example of a non $\mu^*$-measurable set under the projection function

Published on 26 Mar 2026 - 10:59

score 236 · Answer 2 · 2026-03-31 05:36:17

236

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Inverse image of a borel set is measurable

Published on 31 Mar 2026 - 5:36

score 116 · Answer 3 · 2026-03-31 05:33:21

116

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Using Fatou's lemma to show that $u_n \rightarrow u$ and $\int u_n < \int u$ not possible for $u_n\geq 0$

Published on 31 Mar 2026 - 5:33

score 42 · Answer 4 · 2019-10-01 01:15:33

42

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Proving a given assignation over a sigma algebra is a measure.

Published on 01 Oct 2019 - 1:15

score 139 · Answer 5 · 2026-03-28 20:57:54

139

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Limit of a Riemann integrable exist for a function, then is Lebesgue integrable

Published on 28 Mar 2026 - 20:57

score 71 · Answer 6 · 2019-10-01 09:47:41

71

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Show that $f(x) =g(x) $ for all $x \in \mathbb{R}$ if and only if $f=g $ $\lambda$-almost-everywhere

Published on 01 Oct 2019 - 9:47

score 150 · Answer 7 · 2026-02-23 02:57:41

150

Views

Space $M(\lambda)$ of measurable subsets of $[0,1]$ up to null sets is Polish

Published on 23 Feb 2026 - 2:57

score 1.1k · Answer 8 · 2026-03-25 05:09:48

1.1k

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Proving that $m^*(E)=\sup\{m(F)\mid F\text{ is closed}, F\subset E\}$ iff $E$ is measurable

Published on 25 Mar 2026 - 5:09

score 46 · Answer 9 · 2014-03-11 22:08:26

46

Views

Silly question on Measures

Published on 11 Mar 2014 - 22:08

score 340 · Answer 10 · 2014-03-12 00:12:19

340

Views

Alternate definition of Lebesgue integral

Published on 12 Mar 2014 - 0:12

score 196 · Answer 11 · 2026-03-31 07:56:48

196

Views

$f '$ is not Lebesgue integrable on $[-1,1]$

Published on 31 Mar 2026 - 7:56

score 45 · Answer 12 · 2014-03-13 05:26:26

45

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I have a question about point wise convergence concerning Lebesgue measurable sets.

Published on 13 Mar 2014 - 5:26

score 647 · Answer 13 · 2014-03-14 06:35:28

647

Views

outer measure problem when two sets are disjoint.

Published on 14 Mar 2014 - 6:35

score 2.3k · Answer 14 · 2014-03-14 20:55:12

2.3k

Views

Outer Jordan content of closure is equal to Lebesgue measure---is this false?

Published on 14 Mar 2014 - 20:55

score 3.2k · Answer 15 · 2014-03-14 23:29:56

3.2k

Views

How can I find a subset of a set with "half the size" of the original?

Published on 14 Mar 2014 - 23:29

List Question

An example of a non $\mu^*$-measurable set under the projection function

Inverse image of a borel set is measurable

Using Fatou's lemma to show that $u_n \rightarrow u$ and $\int u_n < \int u$ not possible for $u_n\geq 0$

Proving a given assignation over a sigma algebra is a measure.

Limit of a Riemann integrable exist for a function, then is Lebesgue integrable

Show that $f(x) =g(x) $ for all $x \in \mathbb{R}$ if and only if $f=g $ $\lambda$-almost-everywhere

Space $M(\lambda)$ of measurable subsets of $[0,1]$ up to null sets is Polish

Proving that $m^*(E)=\sup\{m(F)\mid F\text{ is closed}, F\subset E\}$ iff $E$ is measurable

Silly question on Measures

Alternate definition of Lebesgue integral

$f '$ is not Lebesgue integrable on $[-1,1]$

I have a question about point wise convergence concerning Lebesgue measurable sets.

outer measure problem when two sets are disjoint.

Outer Jordan content of closure is equal to Lebesgue measure---is this false?

How can I find a subset of a set with "half the size" of the original?

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