Measure theory MOC

σ-algebra

A σ-algebra on a set is a set of subsets of with the following properties #m/def/measure

  1. universal set:
  2. compliment:
  3. countable union:

it immediately follows from De Morgan's laws is closed under

  1. countable intersection:
  2. set difference:

#state/tidy | #lang/en | #SemBr