ThmDex – An index of mathematical definitions, results, and conjectures.
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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
▶ Closed map
▶ Closure point
▶ Continuous map
▶ Discrete topological space
▶ F-sigma set
▶ G-delta set
▶ Hausdorff topological space
▶ Isolated point
▶ Kolmogorov topological space
▶ Neighbourhood
▶ Open map
▶ Open set
▶ Set interior