ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Topology
Definition D2197
Set of topologies
Formulation 0
Let $X$ be a D11: Set.
The set of topologies on $X$ is the D11: Set \begin{equation} \{ \mathcal{T} \subseteq \mathcal{P}(X) \mid \mathcal{T} \text{ is a topology on } X \} \end{equation}