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
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) $\mathcal{F} = \{ \emptyset \}$