T_1-Separation Axiom

For any two points x,y in X there exists two open sets U and V such that x in U and y not in U, and y in V and x not in V. A space satisfying this axiom is known as a T1-space.

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.

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