Ivan Shishkin, Birch Grove

Tribu complétée

Definition / Functional analysis /

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Définition

Soit (X,A,μ)(X,\mathcal A,\mu) un espace mesuré.
On appelle tribu complétée de A\mathcal A (pour la mesure μ\mu) la tribu :
A‾={A∪N  |  A∈A, N∈Nμ}.\overline{\mathcal A} = \left\{ A\cup N \;\middle|\; A\in\mathcal A,\, N\in \mathcal N_{\mu} \right\}.

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