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rfloc
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accepted
Proof of the Dunford-Pettis theorem in the context of probability spaces
revised
About the 7.3.5. Corollary of the book "Measure Theory" by V.I. Bogachev
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comment
About the 7.3.5. Corollary of the book "Measure Theory" by V.I. Bogachev
@user95282 I believe that that corollary is true if $\mu$ is tight w.r.t. $\tau$ and outer regular w.r.t. $\sigma(X,\Gamma)$. I want to confirm this!
accepted
Every tight $\tau$-additive finite measure is Radon
comment
Every tight $\tau$-additive finite measure is Radon
Could you please tell me why $\mathcal{V}$ is upward-direct? I know that for any $V,W\in \mathcal{V}$ there's $Z\in\mathcal{V}$ such that $(V\cup W)\cap S\subseteq Z\cap S$. But I can't find $Z\in\mathcal{V}$ such that $V\cup W\subseteq Z$.
awarded
 Yearling
asked
About the 7.3.5. Corollary of the book "Measure Theory" by V.I. Bogachev
asked
Every tight $\tau$-additive finite measure is Radon
asked
Can we generalize the Kuratowski Extension Theorem to Souslin spaces?
comment
Possible error in a paper about minimal sufficient statistic and minimal sufficient $\sigma$-algebra
Thank you very much! Just to add something: it's $R$ instead of $T$.
accepted
Possible error in a paper about minimal sufficient statistic and minimal sufficient $\sigma$-algebra
asked
Possible error in a paper about minimal sufficient statistic and minimal sufficient $\sigma$-algebra
accepted
Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
comment
Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
The set of all $v\in\mathbb{R}^n$ with $\sum v=0$ has measure zero. Are you certain that what you wrote is in fact true?
comment
Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
Could please explain why $A$ is necessarily null?
revised
Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
added 2 characters in body
asked
Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
comment
Can a differentiable function have everywhere discontinuous derivative?
@WillieWong Could you please provide a reference for 4.(a)?
comment
If $f=h\circ g$, then there's a measurable function $\tilde h$ such that $f=\tilde h\circ g$
Thank you very much! Could you please indicate me some nice books about this subject?
accepted
If $f=h\circ g$, then there's a measurable function $\tilde h$ such that $f=\tilde h\circ g$
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