Question

if $A$ has Lebesgue outer measure $0$ then so does $B=\left\{x^2: x\in A \right\}$

score 257 · Answer 1 · 2026-04-17 06:48:34

257

Views

if $A$ has Lebesgue outer measure $0$ then so does $B=\left\{x^2: x\in A \right\}$

Published on 17 Apr 2026 - 6:48

score 44 · Answer 2 · 2026-04-17 01:30:03

44

Views

sequence genration

Published on 17 Apr 2026 - 1:30

score 82 · Answer 3 · 2026-04-14 09:11:03

82

Views

subset of a measurable set is measurable

Published on 14 Apr 2026 - 9:11

score 1.3k · Answer 4 · 2026-04-13 11:10:29

1.3k

Views

Why do we use the Borel sigma algebra for the codomain of a measurable function?

Published on 13 Apr 2026 - 11:10

score 1.7k · Answer 5 · 2026-04-10 17:55:12

1.7k

Views

Set of critical values of one-dimensional continuously differentiable function has measure zero.

Published on 10 Apr 2026 - 17:55

score 133 · Answer 6 · 2026-04-12 05:35:06

133

Views

Reduction of open set to dense open set with smaller measure

Published on 12 Apr 2026 - 5:35

score 171 · Answer 7 · 2026-04-12 00:36:58

171

Views

A non-negative measurable function is a sum of the averages of some characteristic functions

Published on 12 Apr 2026 - 0:36

score 175 · Answer 8 · 2026-04-04 02:25:34

175

Views

Measure theory , Functional calculus, Self Adoint

Published on 04 Apr 2026 - 2:25

score 358 · Answer 9 · 2026-04-28 00:04:42

358

Views

Gap in My Understanding of Measurable Functions as Pointwise Limits of Simple Functions

Published on 28 Apr 2026 - 0:04

score 89 · Answer 10 · 2026-04-28 01:40:26

89

Views

show that $ f_h \in L^1(R) $ and $ \lim_{h \to 0} f_h(x) = f(x) $ in $ L^1(R) $

Published on 28 Apr 2026 - 1:40

score 57 · Answer 11 · 2026-04-15 15:13:21

57

Views

The proof of $\text{lim sup}\frac{\lambda (B)}{m (B)} =0$ if $\lambda$ is singular to $m$

Published on 15 Apr 2026 - 15:13

score 35 · Answer 12 · 2026-04-09 18:08:23

35

Views

Changing the measure

Published on 09 Apr 2026 - 18:08

score 646 · Answer 13 · 2026-04-13 22:51:23

646

Views

Why is the focus on half open intervals?

Published on 13 Apr 2026 - 22:51

score 269 · Answer 14 · 2026-04-11 07:02:00

269

Views

Counter example (Lebesgue measure) when $\lambda(E) = \infty$

Published on 11 Apr 2026 - 7:02

score 85 · Answer 15 · 2026-04-11 20:49:02

85

Views

Given a measure $\lambda$, show that $\lambda = 0$

Published on 11 Apr 2026 - 20:49

List Question

if $A$ has Lebesgue outer measure $0$ then so does $B=\left\{x^2: x\in A \right\}$

sequence genration

subset of a measurable set is measurable

Why do we use the Borel sigma algebra for the codomain of a measurable function?

Set of critical values of one-dimensional continuously differentiable function has measure zero.

Reduction of open set to dense open set with smaller measure

A non-negative measurable function is a sum of the averages of some characteristic functions

Measure theory , Functional calculus, Self Adoint

Gap in My Understanding of Measurable Functions as Pointwise Limits of Simple Functions

show that $ f_h \in L^1(R) $ and $ \lim_{h \to 0} f_h(x) = f(x) $ in $ L^1(R) $

The proof of $\text{lim sup}\frac{\lambda (B)}{m (B)} =0$ if $\lambda$ is singular to $m$

Changing the measure

Why is the focus on half open intervals?

Counter example (Lebesgue measure) when $\lambda(E) = \infty$

Given a measure $\lambda$, show that $\lambda = 0$

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