Question

An extended real value function is measurable (proof verification)

score 412 · Answer 1 · 2026-04-12 04:38:21

412

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An extended real value function is measurable (proof verification)

Published on 12 Apr 2026 - 4:38

score 93 · Answer 2 · 2026-04-17 08:51:05

93

Views

Limit of sequence induced by dilation of Lebesgue integrable function

Published on 17 Apr 2026 - 8:51

score 106 · Answer 3 · 2026-04-14 06:45:38

106

Views

Is this $\sigma$-algebra generated by the canonical projections?

Published on 14 Apr 2026 - 6:45

score 302 · Answer 4 · 2026-04-12 03:03:05

302

Views

Is there any measurable function $f:[0,1]\to\mathbb R$ such that every modification is nowhere continuous?

Published on 12 Apr 2026 - 3:03

score 214 · Answer 5 · 2026-04-15 23:11:09

214

Views

How to show $\int g \, d\nu = \int g \cdot f \, d\mu$, where $\nu(K) = \int_K f \, d\mu$?

Published on 15 Apr 2026 - 23:11

score 393 · Answer 6 · 2026-04-14 10:16:41

393

Views

Countable union of sigma algebra

Published on 14 Apr 2026 - 10:16

score 58 · Answer 7 · 2026-04-16 10:00:33

58

Views

The measurability of $f(x)$ given that $\lim f_n(x) = f(x)$.

Published on 16 Apr 2026 - 10:00

score 40 · Answer 8 · 2026-04-13 00:12:29

40

Views

Absolute value of first derivative interpretation, why is this true?

Published on 13 Apr 2026 - 0:12

score 209 · Answer 9 · 2026-04-14 00:33:56

209

Views

Is the maximal set of injectivity of a measurable map a measurable set?

Published on 14 Apr 2026 - 0:33

score 658 · Answer 10 · 2026-04-15 06:37:29

658

Views

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Published on 15 Apr 2026 - 6:37

score 282 · Answer 11 · 2026-04-14 17:09:02

282

Views

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Published on 14 Apr 2026 - 17:09

score 312 · Answer 12 · 2026-04-11 13:21:43

312

Views

Advice on (my) Measure Theory book choice needed

Published on 11 Apr 2026 - 13:21

score 34 · Answer 13 · 2026-03-25 06:06:17

34

Views

Dimension of a self-similar measure is never greater than its similarity dimension

Published on 25 Mar 2026 - 6:06

score 445 · Answer 14 · 2026-04-12 04:54:18

445

Views

Schwarz symmetrization is equimeasurable

Published on 12 Apr 2026 - 4:54

score 2k · Answer 15 · 2026-04-11 14:38:24

2k

Views

Equivalent conditions for two functions to be equal almost everywhere in terms of integral

Published on 11 Apr 2026 - 14:38

List Question

An extended real value function is measurable (proof verification)

Limit of sequence induced by dilation of Lebesgue integrable function

Is this $\sigma$-algebra generated by the canonical projections?

Is there any measurable function $f:[0,1]\to\mathbb R$ such that every modification is nowhere continuous?

How to show $\int g \, d\nu = \int g \cdot f \, d\mu$, where $\nu(K) = \int_K f \, d\mu$?

Countable union of sigma algebra

The measurability of $f(x)$ given that $\lim f_n(x) = f(x)$.

Absolute value of first derivative interpretation, why is this true?

Is the maximal set of injectivity of a measurable map a measurable set?

The $m$-dimensional Hausdorff measure agrees with the Lebesgue measure on $\mathbb{R}^n$ when $m=n$?

Calculating the length of a curve $(x,x^2)$ for $x\in [0,2]$ using the Hausdorff measure of the set $A=\{(x,x^2)\in\mathbb{R}^2\mid x\in[0,2] \}$?

Advice on (my) Measure Theory book choice needed

Dimension of a self-similar measure is never greater than its similarity dimension

Schwarz symmetrization is equimeasurable

Equivalent conditions for two functions to be equal almost everywhere in terms of integral

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