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Dec
15
accepted Does the sequence $f\chi_{E_n^c}$ converge pointwise to $f$ if the measure of $E_n$ tends to zero?
Dec
14
revised Does the sequence $f\chi_{E_n^c}$ converge pointwise to $f$ if the measure of $E_n$ tends to zero?
added 18 characters in body
Dec
14
asked Does the sequence $f\chi_{E_n^c}$ converge pointwise to $f$ if the measure of $E_n$ tends to zero?
Nov
24
accepted Convergence in Distribution
Nov
24
revised Convergence in Distribution
added 33 characters in body
Nov
24
asked Convergence in Distribution
Nov
12
awarded  Yearling
Oct
31
asked Question about covering spaces extending inverse.
Oct
26
comment A compact set $K \subset \mathbb{R}$ of positive Lebesgue measure such that $m(K \cap I) < |I|$ for every interval $I$ of positive length
I see. I think in that case your "Fat Cantor Set" approach should work. What are you having trouble with?
Oct
26
comment A compact set $K \subset \mathbb{R}$ of positive Lebesgue measure such that $m(K \cap I) < |I|$ for every interval $I$ of positive length
There should be something wrong with your problem, $m(K\cap I)$ is always less than $m(I)$, at least weakly.
Oct
26
comment A compact set $K \subset \mathbb{R}$ of positive Lebesgue measure such that $m(K \cap I) < |I|$ for every interval $I$ of positive length
what is $m$? How about $I$ Your question is missing context.
Oct
24
comment If functions converge a.e. and their integrals converge, does convergence in $L^1$ follow?
thanks @danielson
Oct
24
accepted If functions converge a.e. and their integrals converge, does convergence in $L^1$ follow?
Oct
24
revised If functions converge a.e. and their integrals converge, does convergence in $L^1$ follow?
added 5 characters in body
Oct
24
asked If functions converge a.e. and their integrals converge, does convergence in $L^1$ follow?
Oct
20
comment $X_n$ are r.v.s, is it true that $E[\sum_{n=1}^{\infty} X_n] = \sum_{n=1}^{\infty} E[X_n] $?
where are the $X_i$ defined?
Oct
20
revised How to show function is measurable if and only if each component is
added 497 characters in body
Oct
20
asked How to show function is measurable if and only if each component is
Oct
17
answered Proving or disproving that $\{(x,y) : xy > 0\}$ is open
Oct
17
accepted Unique homomorphism both ways