# Differences

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 complete_measure_space [2013/09/07 23:22]nikolaj created complete_measure_space [2014/03/21 11:11] Line 1: Line 1: - ===== Measure space ===== - ==== Definition ==== - | @#88DDEE: $X$ | - | @#FFBB00: $\langle X,​\Sigma,​\mu\rangle$ ... complete measure space over $X$ | - - | @#55EE55: $\langle X,​\Sigma,​\mu\rangle$ ... measure space | - - | $\mu(N)=0$ | - | $N'​\subseteq N$ | - - | @#55EE55: $N'​\in\Sigma$ | - - ==== Discussion ==== - In a complete measure space, subsets of null-sets can also be measured (and they then have zero measure as well). This notion is just introduced to prevent some pathologies. - ==== Reference ==== - Wikipedia: [[http://​en.wikipedia.org/​wiki/​Complete_measure|Complete measure]] - ==== Parents ==== - === Subset of === - [[Measure space]]