For any two points there exists two open sets and such that and , and and . A space satisfying this axiom is known as a T1-space.

# T_1-Separation Axiom

## See also

Hausdorff Axioms, Separation Axioms, T1-Space
*This entry contributed by Margherita
Barile*

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## Cite this as:

Barile, Margherita. "T_1-Separation Axiom." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/T1-SeparationAxiom.html