Question

In real analysis, is constant function measurable??

score 229 · Answer 1 · 2026-03-26 09:45:45

229

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In real analysis, is constant function measurable??

Published on 26 Mar 2026 - 9:45

score 51 · Answer 2 · 2021-07-14 20:05:29

51

Views

Is a set Lebesgue-Stiltjes measurable if and only if it is Lebesgue measurable?

Published on 14 Jul 2021 - 20:05

score 145 · Answer 3 · 2021-07-15 07:34:55

145

Views

Outer measure countable subadditivity proof confusion

Published on 15 Jul 2021 - 7:34

score 115 · Answer 4 · 2021-08-03 12:11:09

115

Views

Completion of Measure - Clarifying the Wikipedia Example to Motivate Completion of Lebesgue Measure

Published on 03 Aug 2021 - 12:11

score 205 · Answer 5 · 2026-02-23 10:18:23

205

Views

Projection of an Analytic Set is Analytic

Published on 23 Feb 2026 - 10:18

score 51 · Answer 6 · 2021-08-10 06:56:05

51

Views

Proving Borel Regularity

Published on 10 Aug 2021 - 6:56

score 117 · Answer 7 · 2021-08-10 13:46:38

117

Views

Lebesgue outer measure of the union of a countable sequence of disjoint intervals in R is the sum of respective length of each intervals

Published on 10 Aug 2021 - 13:46

score 134 · Answer 8 · 2021-08-29 00:09:04

134

Views

Alternate proof of countable subadditivity of outer measures

Published on 29 Aug 2021 - 0:09

score 661 · Answer 9 · 2021-09-02 08:04:34

661

Views

if $A\subset\mathbb{R}$ is Lebesgue measurable and $t\in\mathbb{R}$, then $t+A$ is Lebesgue measurable

Published on 02 Sep 2021 - 8:04

score 494 · Answer 10 · 2021-09-04 23:06:01

494

Views

Prove that the outer measure is greater than or equal to the inner measure

Published on 04 Sep 2021 - 23:06

score 326 · Answer 11 · 2021-09-06 17:53:51

326

Views

Show that the collection of sets for which the inner measure equals the outer measure $\mu_(A) = \mu^(A)$ is a $\sigma$-algebra.

Published on 06 Sep 2021 - 17:53

score 63 · Answer 12 · 2026-03-26 11:00:46

63

Views

Outer Measure and $\sigma$-algebra on $\Omega = \Big\{(i, j)\ \big|\ 1\le i,j \le N\Big\}$

Published on 26 Mar 2026 - 11:00

score 198 · Answer 13 · 2021-09-22 11:25:19

198

Views

Inclusion-Exclusion Principle for Outer Measure

Published on 22 Sep 2021 - 11:25

score 106 · Answer 14 · 2021-09-25 17:14:37

106

Views

A confusion regarding the proof of "Lebesgue outer measure of an interval is its length."

Published on 25 Sep 2021 - 17:14

score 42 · Answer 15 · 2021-09-25 20:23:32

42

Views

If two sets have the same outer measure, do their images under a function (or linear map) have the same measure?

Published on 25 Sep 2021 - 20:23

List Question

In real analysis, is constant function measurable??

Is a set Lebesgue-Stiltjes measurable if and only if it is Lebesgue measurable?

Outer measure countable subadditivity proof confusion

Completion of Measure - Clarifying the Wikipedia Example to Motivate Completion of Lebesgue Measure

Projection of an Analytic Set is Analytic

Proving Borel Regularity

Lebesgue outer measure of the union of a countable sequence of disjoint intervals in R is the sum of respective length of each intervals

Alternate proof of countable subadditivity of outer measures

if $A\subset\mathbb{R}$ is Lebesgue measurable and $t\in\mathbb{R}$, then $t+A$ is Lebesgue measurable

Prove that the outer measure is greater than or equal to the inner measure

Show that the collection of sets for which the inner measure equals the outer measure $\mu_(A) = \mu^(A)$ is a $\sigma$-algebra.

Outer Measure and $\sigma$-algebra on $\Omega = \Big\{(i, j)\ \big|\ 1\le i,j \le N\Big\}$

Inclusion-Exclusion Principle for Outer Measure

A confusion regarding the proof of "Lebesgue outer measure of an interval is its length."

If two sets have the same outer measure, do their images under a function (or linear map) have the same measure?

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