Category:Completely Hausdorff Spaces
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This category contains results about Completely Hausdorff Spaces in the context of Topology.
$\struct {S, \tau}$ is a completely Hausdorff space or $T_{2 \frac 1 2}$ space if and only if:
- $\forall x, y \in S, x \ne y: \exists U, V \in \tau: x \in U, y \in V: U^- \cap V^- = \O$
That is, for any two distinct elements $x, y \in S$ there exist open sets $U, V \in \tau$ containing $x$ and $y$ respectively whose closures are disjoint.
Subcategories
This category has only the following subcategory.
Pages in category "Completely Hausdorff Spaces"
The following 14 pages are in this category, out of 14 total.