Category:T5 Spaces
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This category contains results about $T_5$ spaces in the context of Topology.
$\struct {S, \tau}$ is a $T_5$ space if and only if:
- $\forall A, B \subseteq S, A^- \cap B = A \cap B^- = \O: \exists U, V \in \tau: A \subseteq U, B \subseteq V, U \cap V = \O$
That is:
- $\struct {S, \tau}$ is a $T_5$ space when for any two separated sets $A, B \subseteq S$ there exist disjoint open sets $U, V \in \tau$ containing $A$ and $B$ respectively.
Pages in category "T5 Spaces"
The following 25 pages are in this category, out of 25 total.