Question

Show that $λ(N)=\bigcap_{m=1}^{\infty}(U_m) = 0$

score 37 · Answer 1 · 2026-04-17 09:59:53

37

Views

Show that $λ(N)=\bigcap_{m=1}^{\infty}(U_m) = 0$

Published on 17 Apr 2026 - 9:59

score 26 · Answer 2 · 2026-04-14 04:13:27

26

Views

how to find a Borel function $f$ such that $a(t) = f(b(t))$

Published on 14 Apr 2026 - 4:13

score 1.3k · Answer 3 · 2026-04-13 02:19:14

1.3k

Views

Integrable function that is not mean-square integrable

Published on 13 Apr 2026 - 2:19

score 23 · Answer 4 · 2026-04-16 05:34:07

23

Views

The least possible "arc length" such that exists an circumscribed square whose every vertex lies within the arc

Published on 16 Apr 2026 - 5:34

score 328 · Answer 5 · 2026-04-12 07:14:02

328

Views

Lebesgue Integral that does not go to zero even when domain of integration is arbitrarily small

Published on 12 Apr 2026 - 7:14

score 91 · Answer 6 · 2026-04-14 06:49:59

91

Views

Function Space and Hölder Inequality

Published on 14 Apr 2026 - 6:49

score 199 · Answer 7 · 2026-04-14 21:57:21

199

Views

Prove that there is a subsequence satisfying Three Properties (Lebesgue Integration)

Published on 14 Apr 2026 - 21:57

score 77 · Answer 8 · 2026-04-17 02:23:22

77

Views

Integral with infinite limits as limit of integrals on sets of finite measure

Published on 17 Apr 2026 - 2:23

score 70 · Answer 9 · 2026-04-17 13:31:26

Almost every point in a union A of measurable sets $A_n$ belongs to at most k of the sets. Show $m(A)\geq \frac{\sum m(A_n)}{k}$

score 1.7k · Answer 10 · 2026-04-11 21:08:53

1.7k

Views

The difference between the volume of a set and the measure of a set?

Published on 11 Apr 2026 - 21:08

score 333 · Answer 11 · 2026-04-10 13:23:52

333

Views

A question about the nonmeasurable Vitali set

Published on 10 Apr 2026 - 13:23

score 76 · Answer 12 · 2026-04-13 23:05:03

76

Views

Squared random variable on Borel sets in $[-1,1]$

Published on 13 Apr 2026 - 23:05

score 73 · Answer 13 · 2026-04-11 20:17:23

Does there exist a measure $\mu$ on $([0,1],\mathfrak B_{[0,1]})$ such that $\mu(\text {Cantor Set})=1$ and $\mu (\{x\})=0$ for every $x \in [0,1]$

score 337 · Answer 14 · 2026-04-09 02:58:05

337

Views

Measurable function which is not equivalent to real continuous function

Published on 09 Apr 2026 - 2:58

score 266 · Answer 15 · 2026-04-13 21:35:35

266

Views

Can Lebesgue measure be defined without the extended reals?

Published on 13 Apr 2026 - 21:35

List Question

Show that $λ(N)=\bigcap_{m=1}^{\infty}(U_m) = 0$

how to find a Borel function $f$ such that $a(t) = f(b(t))$

Integrable function that is not mean-square integrable

The least possible "arc length" such that exists an circumscribed square whose every vertex lies within the arc

Lebesgue Integral that does not go to zero even when domain of integration is arbitrarily small

Function Space and Hölder Inequality

Prove that there is a subsequence satisfying Three Properties (Lebesgue Integration)

Integral with infinite limits as limit of integrals on sets of finite measure

Almost every point in a union A of measurable sets $A_n$ belongs to at most k of the sets. Show $m(A)\geq \frac{\sum m(A_n)}{k}$

The difference between the volume of a set and the measure of a set?

A question about the nonmeasurable Vitali set

Squared random variable on Borel sets in $[-1,1]$

Does there exist a measure $\mu$ on $([0,1],\mathfrak B_{[0,1]})$ such that $\mu(\text {Cantor Set})=1$ and $\mu (\{x\})=0$ for every $x \in [0,1]$

Measurable function which is not equivalent to real continuous function

Can Lebesgue measure be defined without the extended reals?

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