Show that this set is a sigma algebra
104308
Proving a set is a Sigma Algebra
75317
Show that $(s_n)$ is a Cauchy sequence
120442
Prove Borel sigma-algebra translation invariant
46698
Showing a set is closed under inverses
136083
Show that $\sigma\circ\phi : G_1 \to G_3$ is an isomorphism
103307
Generate the smallest $\sigma$-algebra containing a given family of sets
90590
Prove that the following set is dense
19289
complement of a set and its measure
39409
$X_1,...,X_n$ be independent RVs and $X_i \perp \mathcal F $ for $1\ \leq \forall i \leq n$. Show that $\sigma (X_1,...,X_n) \perp \mathcal F$
134983
Borel sigma algebra not containing all subsets of $\mathbb{R}$?
70164
Proof exercise that the cardinal number of a set in $\mathbb R^2$ is $\frak c$
29637
$\sigma$-algebra of sets that are both $G_\delta$ and $F_\sigma$
44575
The sigma function (sum of divisors) multiplicative proof
31710
Show that $\mathcal{J}=\{[a, a+1) \mid a \in \mathbb{R}\}$ generates the Borel set of $\mathbb{R}$
21820
How to prove that a set is invariant?
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
64118
Number of elements in a finite $\sigma$-algebra