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Bottom topology
Formulation 0
Let $X$ be a D11: Set.
A D11: Set $\mathcal{T} \subseteq \mathcal{P}(X)$ is a bottom topology on $X$ if and only if \begin{equation} \mathcal{T} = \{ \emptyset, X \} \end{equation}
Also known as
Trivial topology
Child definitions
» D1162: Bottom topological space
» D442: Empty topology