from finite to $\sigma$-finite measure space
7681
How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?
26369
Proving seemingly obvious equations with measure theory
16048
Approximating a $\sigma$-algebra by a generating algebra
17314
Use property to show that if $f_n \rightarrow f$ in measure on finite measure set $E$ then $f_n^2 \rightarrow f^2$ in measure on $E$.
83830
Sigma algebra generated by the set of all singletons
70785
A finite Hausdorff space is discrete
154621
A set with a finite integral of measure zero?
115860
Is a measure for a sigma algebra determined by its values for a generator of the sigma algebra?
136795
A non-measurable set of given outer measure
147546
$f: \mathbf{R} \rightarrow \mathbf{R}$ monotone increasing $\Rightarrow$ $f$ is measurable
25306
A countable family of point-wise bounded functions defined on finite measurable set is actually uniformly bounded on a closed subset
68512
$\sigma$ algebra of collection of random variables
10702
Show that $\left\{A\subset\Omega: A~\text{ is countable or }A^C\text{ is countable}\right\}$ is a $\sigma$-algebra
43894
If $S$ is an infinite $\sigma$ algebra on $X$ then $S$ is not countable
22597
Composition of measurable function and continuous function
53663
outer measure and measurable sets
3023
Construction of a Borel set with positive but not full measure in each interval