===== Measurable space ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $ X $ | | @#FFBB00: definiendum | @#FFBB00: $ \langle X,\Sigma\rangle\in \mathrm{MeasurableSpace}(X) $ | | @#55EE55: postulate | @#55EE55: $ \Sigma \in \mathrm{SigmaAlgebra}(X) $ | ==== Discussion ==== Every σ-algebra gives us a measurable space. === Predicates === We call a set $X$ //measurable// if there is a sigma-algebra over it. ==== Reference ==== Wikipedia: [[http://en.wikipedia.org/wiki/Sigma-algebra|Sigma-algebra]] ==== Parents ==== === Equivalent to === [[σ-algebra]]