===== Measure space ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $X $ | | @#FFBB00: definiendum | @#FFBB00: $ \langle\!\langle X,\Sigma,\mu \rangle\!\rangle$ in it | | @#55EE55: postulate | @#55EE55: $ \Sigma \in \mathrm{SigmaAlgebra}(X) $ | | @#55EE55: postulate | @#55EE55: $ \mu\in \mathrm{Measure}(\Sigma) $ | ==== Discussion ==== A measure space is a measurable space together with a fixed measure. ==== Reference ==== Wikipedia: [[http://en.wikipedia.org/wiki/Measure_%28mathematics%29|Measure]] ==== Parents ==== === Equivalent to === [[Measure]] === Context === [[σ-algebra]], [[Extended real number line]], [[Infinite series]]