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