ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
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▼ Theory
▼ Zermelo-Fraenkel set theory
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▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
▼ Subset structure
▼ Measurable space
▼ Measurable set
▼ Null measurable set
▼ Subnull set
▼ Complete measure
▼ Complete measure space
Definition D3775
Complete probability space
Formulation 0
A D5107: Triple $P = (\Omega, \mathcal{F}, \mathbb{P})$ is a complete probability space if and only if
(1) $P = (\Omega, \mathcal{F}, \mathbb{P})$ is a D1159: Probability space
(2) $\mathbb{P}$ is a D3774: Complete probability measure