Question

Caratheodory's Theorem: finite measure implies unique and finite extension

score 37 · Answer 1 · 2026-04-14 04:45:43

37

Views

Caratheodory's Theorem: finite measure implies unique and finite extension

Published on 14 Apr 2026 - 4:45

score 29 · Answer 2 · 2026-04-10 00:34:57

29

Views

Differentiability of bijection that pushes measures with densities to measures with densities

Published on 10 Apr 2026 - 0:34

score 147 · Answer 3 · 2026-04-11 20:47:53

147

Views

Show that $f(g(x))g′(x)$ is measurable where $f$ is bounded and measurable

Published on 11 Apr 2026 - 20:47

score 42 · Answer 4 · 2026-04-15 14:59:55

42

Views

Clarification on the Equation $ \varphi^{-1}(B) = \bigcup_{n\geq 1} \left\{ \{t=n\} \cap f_{n}^{-1}(B) \right\} \in \mathcal{A} $

Published on 15 Apr 2026 - 14:59

score 112 · Answer 5 · 2026-04-15 06:50:02

112

Views

Using Lebesgue's Dominated Convergence Theorem to show convergence of a sequence of random variables

Published on 15 Apr 2026 - 6:50

score 184 · Answer 6 · 2026-04-13 09:32:20

184

Views

The Lebesgue measures of open sets of points of epsilon distance from a compact set converge to the Lebesgue measure of that compact set

Published on 13 Apr 2026 - 9:32

score 55 · Answer 7 · 2026-04-16 18:45:07

Considering the parametric space $\Theta = \mathbb{R}^n$, the set $\{ (x_1, \ldots, x_n) \in \mathbb{R^n}: x_1 = x_2 = x_3 \}$ has measure zero?

score 75 · Answer 8 · 2026-04-14 23:31:49

75

Views

Function that maps (binary representation of) $x \in [0,1]$ to number given by the “even bits” of $x$

Published on 14 Apr 2026 - 23:31

score 28 · Answer 9 · 2026-04-14 07:37:51

28

Views

A question on excess mass

Published on 14 Apr 2026 - 7:37

score 59 · Answer 10 · 2026-04-14 21:56:55

59

Views

Gerald Folland Exercise 3.4.22 - Wording of the Question?

Published on 14 Apr 2026 - 21:56

score 40 · Answer 11 · 2026-04-11 06:58:53

40

Views

Continuous measure with compact support has nonempty interior

Published on 11 Apr 2026 - 6:58

score 34 · Answer 12 · 2026-04-11 11:57:04

34

Views

Every Lebesgue measurable function is equal almost everywhere to a Borel measurable function

Published on 11 Apr 2026 - 11:57

score 29 · Answer 13 · 2026-03-25 20:18:24

29

Views

Composition of Borel measurable and Labegsue mesurable

Published on 25 Mar 2026 - 20:18

score 90 · Answer 14 · 2026-04-14 02:37:33

90

Views

Finer partitions mean more informative partitions? (I try to give an example and answer this question)

Published on 14 Apr 2026 - 2:37

score 140 · Answer 15 · 2026-04-13 19:40:10

140

Views

Why isn't $[0,1]^{\aleph_1}$ isomorphic to $[0,1]$ as a measure space.

Published on 13 Apr 2026 - 19:40

List Question

Caratheodory's Theorem: finite measure implies unique and finite extension

Differentiability of bijection that pushes measures with densities to measures with densities

Show that $f(g(x))g′(x)$ is measurable where $f$ is bounded and measurable

Clarification on the Equation $ \varphi^{-1}(B) = \bigcup_{n\geq 1} \left\{ \{t=n\} \cap f_{n}^{-1}(B) \right\} \in \mathcal{A} $

Using Lebesgue's Dominated Convergence Theorem to show convergence of a sequence of random variables

The Lebesgue measures of open sets of points of epsilon distance from a compact set converge to the Lebesgue measure of that compact set

Considering the parametric space $\Theta = \mathbb{R}^n$, the set $\{ (x_1, \ldots, x_n) \in \mathbb{R^n}: x_1 = x_2 = x_3 \}$ has measure zero?

Function that maps (binary representation of) $x \in [0,1]$ to number given by the “even bits” of $x$

A question on excess mass

Gerald Folland Exercise 3.4.22 - Wording of the Question?

Continuous measure with compact support has nonempty interior

Every Lebesgue measurable function is equal almost everywhere to a Borel measurable function

Composition of Borel measurable and Labegsue mesurable

Finer partitions mean more informative partitions? (I try to give an example and answer this question)

Why isn't $[0,1]^{\aleph_1}$ isomorphic to $[0,1]$ as a measure space.

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