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 Inquisitive
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~6k people reached

Jan
8
asked compact set in a space of functions continuous in $\mathbb{R}$
Jan
7
comment Testing whether a particular set of measures borelianas is a set of Baire
Define $A(m,n)=\{ \mu : \mu(\Lambda(x,\frac{1}{m}))\geq \frac{1}{n} \mbox{for some } x \in X\}$ then $$E=\bigcup_{m}\bigcap_{n}A(m,n)^{C}$$Then if $A(m,n)$ is closed, E is $G_{\sigma \delta}$ in M(X) then baire in $M(X)$.
Mar
18
asked weak convergence star $wk^*$
Sep
17
asked Problems with convergence in mean
Aug
30
asked convergence of a sequence of cauchy
Aug
27
accepted Projection of a set $G_\delta$
Aug
26
asked Is the upper limit projection Borel
Aug
26
comment Projection of a set $G_\delta$
@PhoemueX: Yes, I would greatly appreciate if you could guide me
Aug
26
comment Projection of a set $G_\delta$
thanks for answering! wanted to find out whether I can apply the result to prove that $\pi(f^{-1}(0,1))$ not is Borel measurable where $f=\limsup_{n\rightarrow \infty }f_n$ and $f_n: \mathbb{R}\rightarrow \mathbb{R}$ are continuous, although my teacher says that $\pi(f^{-1}(0,1))$ is Borel
Aug
26
asked Projection of a set $G_\delta$
Aug
17
accepted Given a measurable vector field, construct another such that together they form a basis at every point
Aug
17
comment Given a measurable vector field, construct another such that together they form a basis at every point
Honestly a very interesting construction. It may get some explicit expression of the fields ?
Aug
17
comment Given a measurable vector field, construct another such that together they form a basis at every point
There is way to generalize for $v_1,...v_k$ in $\mathbb{R}^d$ ?
Aug
17
comment Given a measurable vector field, construct another such that together they form a basis at every point
This right, and in the case of $\mathbb{R}^3$ with $v_1,v_2$ as gender $v_3$ ?
Aug
17
asked Given a measurable vector field, construct another such that together they form a basis at every point
Aug
14
asked Projection measures and integrability
Jul
3
awarded  Inquisitive
Jul
3
comment A phase diagram outlining
interested n/r smaller than 2
Jul
2
comment A phase diagram outlining
true! I'm lost as to plot the phase diagram for the case $ \sqrt{x} $
Jul
2
comment A phase diagram outlining
thanks for the suggestions. You will have some program to plot the case $f(x)=\sqrt{x}$, it can also be $f(x)=ln(x)$ with $n=r=\alpha=0.5$ ?