ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Discrete sigma-algebra
Definition D1700
Discrete measurable space
Formulation 0
An D548: Ordered pair $M = (X, \mathcal{F})$ is a discrete measurable space if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{F} = \mathcal{P}(X)$ (D195: Discrete sigma-algebra)
We then say that $X$ forms a discrete measurable space.
Children
▶ D2851: Standard measurable space of natural numbers