ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Zermelo-Fraenkel set theory
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▼ Complete measure
Definition D1678
Complete measure space
Formulation 0
A D63: Finite sequence $M = (X, \mathcal{F}, \mu)$ is a complete measure space if and only if
(1) $M = (X, \mathcal{F}, \mu)$ is a D1158: Measure space
(2) $\mu$ is a D1704: Complete measure
We then say that $X$ forms a complete measure space.
Children
▶ D3775: Complete probability space