Assertion: σ algebra | /r/HasProperty | separable
Facets:
Source sentences:
text: Note that any σ-algebra generated by a countable collection of sets is separable, but the converse need not hold.
text: For example, the Lebesgue σ-algebra is separable (since every Lebesgue measurable set is equivalent to some Borel set) but not countably generated (since its cardinality is higher than continuum).