Question

Definition of Borel regular outer measure.

score 70 · Answer 1 · 2026-03-25 20:18:04

70

Views

Definition of Borel regular outer measure.

Published on 25 Mar 2026 - 20:18

score 11 · Answer 2 · 2023-09-21 06:30:36

11

Views

Example of a set mapping that is not an outer measure by violating either monotonicity or subadditivity

Published on 21 Sep 2023 - 6:30

score 44 · Answer 3 · 2023-10-01 11:16:22

44

Views

9K Bartle $A\subset B$ with $l^*(B\setminus A)=0$

Published on 01 Oct 2023 - 11:16

score 26 · Answer 4 · 2026-03-25 20:34:57

26

Views

When a set function on a product sigma-algebra is a measure

Published on 25 Mar 2026 - 20:34

score 144 · Answer 5 · 2023-10-16 16:14:45

144

Views

Questions about details in Lebesgue Outer Measure Theorem proof for an interval I , $|I|_e=v(I) $

Published on 16 Oct 2023 - 16:14

score 323 · Answer 6 · 2023-10-21 12:29:25

323

Views

What does "take over" mean in the "the inf being taken over all countable coverings of E by open elementary sets"?

Published on 21 Oct 2023 - 12:29

score 64 · Answer 7 · 2023-10-29 07:43:17

64

Views

In Lebesgue's characterization of measurability, why is the set required to have finite outer measure?

Published on 29 Oct 2023 - 7:43

score 56 · Answer 8 · 2023-10-31 12:53:06

56

Views

$\tau$ on $X$ with $\tau \leq \rho$ on $\mathcal{E} \implies \tau \leq \mu^*$.

Published on 31 Oct 2023 - 12:53

score 26 · Answer 9 · 2023-11-01 08:21:17

26

Views

Equivalence of outer lebesgue measure if covering of cubes is required rather than cuboids

Published on 01 Nov 2023 - 8:21

score 37 · Answer 10 · 2023-11-01 13:41:27

37

Views

A descending sequence with a non-additive measure where the measure of the limit isn't equal to the measure of the intersection

Published on 01 Nov 2023 - 13:41

score 97 · Answer 11 · 2023-11-01 17:17:58

97

Views

Showing the union of two measurable sets is measurable with the $G_\delta$ definition

Published on 01 Nov 2023 - 17:17

score 43 · Answer 12 · 2023-11-02 02:41:26

43

Views

Hann decomposition problem, Let $\mu$ a finite measure, such that $\lambda \ll \mu$ and let $P_n, N_n$ Hann decomposition for $\lambda - n\mu$.

Published on 02 Nov 2023 - 2:41

score 42 · Answer 13 · 2023-11-05 17:12:34

42

Views

Is $\mu: \mathcal{P}(\mathbb{N}) \rightarrow [0, \infty]$ a measure or outer measure?

Published on 05 Nov 2023 - 17:12

score 48 · Answer 14 · 2023-12-10 16:06:03

48

Views

Properties of outer measure for measureable sets

Published on 10 Dec 2023 - 16:06

score 17 · Answer 15 · 2023-12-10 19:41:53

17

Views

Is this outer measure the same as the absolutely continuous part? (related to Lebesgue differentiation on more general spaces)

Published on 10 Dec 2023 - 19:41

List Question

Definition of Borel regular outer measure.

Example of a set mapping that is not an outer measure by violating either monotonicity or subadditivity

9K Bartle $A\subset B$ with $l^*(B\setminus A)=0$

When a set function on a product sigma-algebra is a measure

Questions about details in Lebesgue Outer Measure Theorem proof for an interval I , $|I|_e=v(I) $

What does "take over" mean in the "the inf being taken over all countable coverings of E by open elementary sets"?

In Lebesgue's characterization of measurability, why is the set required to have finite outer measure?

$\tau$ on $X$ with $\tau \leq \rho$ on $\mathcal{E} \implies \tau \leq \mu^*$.

Equivalence of outer lebesgue measure if covering of cubes is required rather than cuboids

A descending sequence with a non-additive measure where the measure of the limit isn't equal to the measure of the intersection

Showing the union of two measurable sets is measurable with the $G_\delta$ definition

Hann decomposition problem, Let $\mu$ a finite measure, such that $\lambda \ll \mu$ and let $P_n, N_n$ Hann decomposition for $\lambda - n\mu$.

Is $\mu: \mathcal{P}(\mathbb{N}) \rightarrow [0, \infty]$ a measure or outer measure?

Properties of outer measure for measureable sets

Is this outer measure the same as the absolutely continuous part? (related to Lebesgue differentiation on more general spaces)

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