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
▼ Topology
▼ Bottom topology
Definition D1162
Bottom topological space
Formulation 0
An D548: Ordered pair $T = (X, \mathcal{T})$ is a bottom topological space if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{T}$ is a D1163: Bottom topology on $X$
Children
▶ D1112: Empty topological space