Question

Sequence of open intervals, decreasing radii going to zero, centered at the rationals might still give all of $\mathbb{R}$?

score 107 · Answer 1 · 2026-04-15 08:05:30

107

Views

Sequence of open intervals, decreasing radii going to zero, centered at the rationals might still give all of $\mathbb{R}$?

Published on 15 Apr 2026 - 8:05

score 645 · Answer 2 · 2026-04-09 05:24:01

645

Views

Countable additivity of Lebesgue integral question

Published on 09 Apr 2026 - 5:24

score 41 · Answer 3 · 2026-04-14 23:42:55

41

Views

Hölder continuity of $F(x)=\int_{\infty}^x f(t) dt$

Published on 14 Apr 2026 - 23:42

score 50 · Answer 4 · 2026-04-15 22:05:10

50

Views

Measure Theory Conjecture: Continuity Preserving Measure of Special Sets

Published on 15 Apr 2026 - 22:05

score 257 · Answer 5 · 2026-04-16 07:53:54

257

Views

Given $f\in L^2(\mu)$, $\{f_n\}\in L^2(\mu)$, $f_n\rightarrow f$ a.e., and $\int|f_n|^2\rightarrow\int|f|^2$, then $f_n\rightarrow f$ in $L^2(\mu)$.

Published on 16 Apr 2026 - 7:53

score 227 · Answer 6 · 2026-04-10 22:12:24

227

Views

Has the intersection of a perfect set with positive measure and an open interval positive measure?

Published on 10 Apr 2026 - 22:12

score 56 · Answer 7 · 2026-04-17 15:28:47

56

Views

What is the value of $K$ in Talagrand's inequality?

Published on 17 Apr 2026 - 15:28

score 69 · Answer 8 · 2026-04-14 05:55:44

69

Views

Need advice for notation distinguishing standard deviation vs sigma algebra

Published on 14 Apr 2026 - 5:55

score 72 · Answer 9 · 2026-04-13 07:17:50

Is there an explicit definition for the conditional expectation $E[X|\mathcal{H}]$ where $\mathcal{H} \subset \mathcal{F}$ is a $\sigma$-algebra

score 189 · Answer 10 · 2026-04-13 23:28:02

189

Views

Is this property of a sequence of random probabilities well-known?

Published on 13 Apr 2026 - 23:28

score 225 · Answer 11 · 2026-04-09 22:51:42

225

Views

Can a Measurable set be written as union of rectangles?

Published on 09 Apr 2026 - 22:51

score 320 · Answer 12 · 2026-04-09 02:23:19

320

Views

Sub-sigma-algebras: infinite coin flips example on wikipedia

Published on 09 Apr 2026 - 2:23

score 24 · Answer 13 · 2026-04-13 23:04:41

24

Views

Partial order on space of Radon measures

Published on 13 Apr 2026 - 23:04

score 320 · Answer 14 · 2026-04-12 10:42:28

320

Views

Associativity of product measure proof check

Published on 12 Apr 2026 - 10:42

score 36 · Answer 15 · 2026-04-16 00:44:29

36

Views

Is such integral defined well $ \int_{\mathbb{R}}e^{- \lambda x} P_X(dx)$

Published on 16 Apr 2026 - 0:44

List Question

Sequence of open intervals, decreasing radii going to zero, centered at the rationals might still give all of $\mathbb{R}$?

Countable additivity of Lebesgue integral question

Hölder continuity of $F(x)=\int_{\infty}^x f(t) dt$

Measure Theory Conjecture: Continuity Preserving Measure of Special Sets

Given $f\in L^2(\mu)$, $\{f_n\}\in L^2(\mu)$, $f_n\rightarrow f$ a.e., and $\int|f_n|^2\rightarrow\int|f|^2$, then $f_n\rightarrow f$ in $L^2(\mu)$.

Has the intersection of a perfect set with positive measure and an open interval positive measure?

What is the value of $K$ in Talagrand's inequality?

Need advice for notation distinguishing standard deviation vs sigma algebra

Is there an explicit definition for the conditional expectation $E[X|\mathcal{H}]$ where $\mathcal{H} \subset \mathcal{F}$ is a $\sigma$-algebra

Is this property of a sequence of random probabilities well-known?

Can a Measurable set be written as union of rectangles?

Sub-sigma-algebras: infinite coin flips example on wikipedia

Partial order on space of Radon measures

Associativity of product measure proof check

Is such integral defined well $ \int_{\mathbb{R}}e^{- \lambda x} P_X(dx)$

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