Question

Is my Proof Correct: $(X, \mathcal{A}, \mu)$ $\sigma-$finite measure space then $\mu^{*}(B) < \infty$

score 82 · Answer 1 · 2018-11-14 21:15:27

82

Views

Is my Proof Correct: $(X, \mathcal{A}, \mu)$ $\sigma-$finite measure space then $\mu^{*}(B) < \infty$

Published on 14 Nov 2018 - 21:15

score 141 · Answer 2 · 2018-11-23 08:24:25

141

Views

If $A, B \in [m,n] \subseteq \mathbb{R}$ are sets of measure zero, then is $AB = \{ab | a \in A, b \in B\}$ measure zero?

Published on 23 Nov 2018 - 8:24

score 59 · Answer 3 · 2018-11-26 03:38:47

59

Views

Example of measure for some algebra over $\mathbb N$

Published on 26 Nov 2018 - 3:38

score 53 · Answer 4 · 2018-12-08 11:18:10

53

Views

Is there an outer measure on $\mathbb R$ whose only measurable sets are $\mathbb R, \emptyset$?

Published on 08 Dec 2018 - 11:18

score 37 · Answer 5 · 2018-12-11 09:56:07

37

Views

Are Cat. II sets measurable (for a given outer measure)

Published on 11 Dec 2018 - 9:56

score 69 · Answer 6 · 2018-12-20 15:01:20

69

Views

Complete Measure spaces

Published on 20 Dec 2018 - 15:01

score 96 · Answer 7 · 2019-01-12 01:41:49

96

Views

What is the most elegant known proof of $m^(A) \leq \sum_{n} m^(A_n)$ when $A = \bigcup_n A_n$?

Published on 12 Jan 2019 - 1:41

score 291 · Answer 8 · 2019-02-11 09:09:12

291

Views

Show example $E \subset \mathbb{R}^n$ where exterior measure does not equal that of the smallest open ball cover.

Published on 11 Feb 2019 - 9:09

score 544 · Answer 9 · 2019-02-14 11:22:57

544

Views

Lebesgue outer measure of image of set is less than or equal to the Lebesgue outer measure of set

Published on 14 Feb 2019 - 11:22

score 270 · Answer 10 · 2019-02-22 11:22:34

270

Views

Subset of Lebesgue measurable subset of Vitali set is NOT Lebesgue measurable

Published on 22 Feb 2019 - 11:22

score 535 · Answer 11 · 2019-03-05 05:04:51

535

Views

Can a non-measurable set be measurable? (Seriously)

Published on 05 Mar 2019 - 5:04

score 39 · Answer 12 · 2019-03-15 15:43:32

39

Views

Weaken the condition of measurability

Published on 15 Mar 2019 - 15:43

score 62 · Answer 13 · 2019-03-16 04:26:21

$ \inf_{ \text {open sets covering E} } ( \sum \text{length}(I_n) ) \leq \inf_{ \text {closed sets covering E} } ( \sum \text{length}(J_n) ) $

score 80 · Answer 14 · 2019-03-19 20:35:13

80

Views

Example of countably additive function from a Boolean algebra to [0,infinity] that is not finitely additive

Published on 19 Mar 2019 - 20:35

score 108 · Answer 15 · 2019-03-26 13:18:09

108

Views

Proof of translation and linear transformation invariance of R_k

Published on 26 Mar 2019 - 13:18

List Question

Is my Proof Correct: $(X, \mathcal{A}, \mu)$ $\sigma-$finite measure space then $\mu^{*}(B) < \infty$

If $A, B \in [m,n] \subseteq \mathbb{R}$ are sets of measure zero, then is $AB = \{ab | a \in A, b \in B\}$ measure zero?

Example of measure for some algebra over $\mathbb N$

Is there an outer measure on $\mathbb R$ whose only measurable sets are $\mathbb R, \emptyset$?

Are Cat. II sets measurable (for a given outer measure)

Complete Measure spaces

What is the most elegant known proof of $m^(A) \leq \sum_{n} m^(A_n)$ when $A = \bigcup_n A_n$?

Show example $E \subset \mathbb{R}^n$ where exterior measure does not equal that of the smallest open ball cover.

Lebesgue outer measure of image of set is less than or equal to the Lebesgue outer measure of set

Subset of Lebesgue measurable subset of Vitali set is NOT Lebesgue measurable

Can a non-measurable set be measurable? (Seriously)

Weaken the condition of measurability

$ \inf_{ \text {open sets covering E} } ( \sum \text{length}(I_n) ) \leq \inf_{ \text {closed sets covering E} } ( \sum \text{length}(J_n) ) $

Example of countably additive function from a Boolean algebra to [0,infinity] that is not finitely additive

Proof of translation and linear transformation invariance of R_k

Trending Questions

Popular # Hahtags

Popular Questions