ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Bottom sigma-algebra
▼ Bottom measurable space
Definition D4469
Empty measurable space
Formulation 0
Let $\emptyset$ be the D13: Empty set.
An D548: Ordered pair $M = (X, \mathcal{F})$ is an empty measurable space if and only if
(1) $X = \emptyset$
(2) $\mathcal{F} = \{ \emptyset \}$