Question

Proof that Lebesgue Measure is Probability Measure

score 71 · Answer 1 · 2019-07-26 23:33:01

71

Views

Proof that Lebesgue Measure is Probability Measure

Published on 26 Jul 2019 - 23:33

score 73 · Answer 2 · 2019-07-27 03:19:28

73

Views

Example of disjoint sets that are not additive in outer measure

Published on 27 Jul 2019 - 3:19

score 50 · Answer 3 · 2019-07-27 03:54:52

50

Views

Example where $m(G) - m(A) \leq m(G \setminus A)$ does not hold

Published on 27 Jul 2019 - 3:54

score 40 · Answer 4 · 2026-03-30 13:40:40

40

Views

Question about the existence of a Lebesgue measurable set

Published on 30 Mar 2026 - 13:40

score 72 · Answer 5 · 2026-03-26 17:37:16

72

Views

Estimating the measure of a pre-image of a polynomial

Published on 26 Mar 2026 - 17:37

score 221 · Answer 6 · 2026-02-23 02:15:29

Could a "Modified" Density of subsets of $[a,b]$, using a "modified" Folner Net, give the same results as the Lebesgue measure of these subsets?

score 275 · Answer 7 · 2019-07-29 14:07:00

275

Views

If $\mu (A) > 0$, is there an open interval $I$, such that $\mu (A\cap I) > (1-\epsilon)\mu (I) $?

Published on 29 Jul 2019 - 14:07

score 181 · Answer 8 · 2026-03-26 07:56:54

181

Views

Imaginary axis of a complex analytic function has zero measure?

Published on 26 Mar 2026 - 7:56

score 76 · Answer 9 · 2019-07-30 12:04:41

76

Views

Let $m(B) \leq \mu(B)$ for all closed balls $B$ then $m(U) \leq \mu(U)$ for all open sets

Published on 30 Jul 2019 - 12:04

score 609 · Answer 10 · 2026-04-01 15:36:46

609

Views

Abel-Dirichlet improper integral test (without continuity required)

Published on 01 Apr 2026 - 15:36

score 73 · Answer 11 · 2026-03-25 21:47:33

73

Views

$|\{ |f| > t \}| \leq Ct^{-2} \implies \int_{E}|f| \leq D\sqrt{|E|}$

Published on 25 Mar 2026 - 21:47

score 28 · Answer 12 · 2026-04-04 01:56:18

28

Views

What we call a compact and simply connected set ${\mathcal A} \subseteq {\mathbb R}^n$ with $\mu_n({\cal A}) > 0$?

Published on 04 Apr 2026 - 1:56

score 35 · Answer 13 · 2019-08-02 21:02:32

35

Views

Limits of Integration and Bochner Interabilitiy over Intervals

Published on 02 Aug 2019 - 21:02

score 230 · Answer 14 · 2026-03-25 12:54:42

230

Views

Why does the proof of countable subadditivity of the outermeasure require translating to intervals?

Published on 25 Mar 2026 - 12:54

score 31 · Answer 15 · 2019-08-04 02:01:18

31

Views

Prove a bijection is not measurable as a map from $(\mathbb{R}, \mathcal{L}) \to (\mathbb{R}, \mathcal{L})$

Published on 04 Aug 2019 - 2:01

List Question

Proof that Lebesgue Measure is Probability Measure

Example of disjoint sets that are not additive in outer measure

Example where $m(G) - m(A) \leq m(G \setminus A)$ does not hold

Question about the existence of a Lebesgue measurable set

Estimating the measure of a pre-image of a polynomial

Could a "Modified" Density of subsets of $[a,b]$, using a "modified" Folner Net, give the same results as the Lebesgue measure of these subsets?

If $\mu (A) > 0$, is there an open interval $I$, such that $\mu (A\cap I) > (1-\epsilon)\mu (I) $?

Imaginary axis of a complex analytic function has zero measure?

Let $m(B) \leq \mu(B)$ for all closed balls $B$ then $m(U) \leq \mu(U)$ for all open sets

Abel-Dirichlet improper integral test (without continuity required)

$|\{ |f| > t \}| \leq Ct^{-2} \implies \int_{E}|f| \leq D\sqrt{|E|}$

What we call a compact and simply connected set ${\mathcal A} \subseteq {\mathbb R}^n$ with $\mu_n({\cal A}) > 0$?

Limits of Integration and Bochner Interabilitiy over Intervals

Why does the proof of countable subadditivity of the outermeasure require translating to intervals?

Prove a bijection is not measurable as a map from $(\mathbb{R}, \mathcal{L}) \to (\mathbb{R}, \mathcal{L})$

Trending Questions

Popular # Hahtags

Popular Questions