How to construct a partition of X given a sigma-algebra on X (when X countably infinite)
55157
$\sigma$-algebras on a countable set is generated by partitions of the set
92005
Existence of compact/complete metric on countable set
64193
Cardinality of Infinite Symmetric group
147783
Showing a sigma algebra is the union of certain collection of sigma algebras
31969
Partition of N into infinite number of infinite disjoint sets?
50880
Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.
103307
Generate the smallest $\sigma$-algebra containing a given family of sets
16048
Approximating a $\sigma$-algebra by a generating algebra
157046
Finite union sigma field
4111
Outer measure is countably subadditive
157513
How can I prove that these sets are countable infinite?
146006
Uncountable $\sigma$-algebra
115860
Is a measure for a sigma algebra determined by its values for a generator of the sigma algebra?
55717
cardinality of the Borel $\sigma$-algebra of a second countable space
77548
Given an arbitrary infinite set $S$, how to construct an injection $\mathbb{N} \to S$ with the Axiom of Choice?
34964
Recursive representation of closed sets in Baire Space ($\Sigma^1_1$)
73869
$\mathcal{C}_1 \subseteq \mathcal{C}_2 \implies \sigma( \mathcal{C}_1) \subseteq \sigma( \mathcal{C}_2) $