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
▼ Subset structure
Definition D1106
Topological space
Formulation 0
An D548: Ordered pair $T = (X, \mathcal{T})$ is a topological space if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{T}$ is a D86: Topology on $X$
Children
▶ D52: Closed map
▶ D1945: Closure point
▶ D55: Continuous map
▶ D1110: Discrete topological space
▶ D249: F-sigma set
▶ D248: G-delta set
▶ D465: Hausdorff topological space
▶ D457: Isolated point
▶ D785: Kolmogorov topological space
▶ D93: Neighbourhood
▶ D57: Open map
▶ D97: Open set
▶ D519: Set interior