ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Subset
Power set
Hyperpower set sequence
Hyperpower set
Hypersubset
Subset algebra
Boolean algebra
Sigma-algebra
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