ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Zermelo-Fraenkel set theory
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▼ Hyperpower set
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▼ Subset structure
▼ Topological space
Definition D785
Kolmogorov topological space
Formulation 0
A D1106: Topological space $T = (X, \mathcal{T})$ is a Kolmogorov topological space if and only if \begin{equation} \forall \, x, y \in X \left( x \neq y \quad \implies \quad \exists \, U \in \mathcal{T} : (x \in U, y \not\in U) \lor (x \not\in U, y \in U) \right) \end{equation}
Also known as
$T_0$-space, Kolmogorov space