Category:T4 Spaces
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This category contains results about $T_4$ spaces in the context of Topology.
$T = \struct {S, \tau}$ is a $T_4$ space if and only if:
- $\forall A, B \in \map \complement \tau, A \cap B = \O: \exists U, V \in \tau: A \subseteq U, B \subseteq V, U \cap V = \O$
That is, for any two disjoint closed sets $A, B \subseteq S$ there exist disjoint open sets $U, V \in \tau$ containing $A$ and $B$ respectively.
Subcategories
This category has the following 8 subcategories, out of 8 total.
Pages in category "T4 Spaces"
The following 34 pages are in this category, out of 34 total.