Given any two distinct points , there exist neighborhoods and of and , respectively, with . It then follows that finite subsets are closed.

# T_2-Separation Axiom

## See also

Separation Axioms, Set Closure, T2-Space## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "T_2-Separation Axiom."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/T2-SeparationAxiom.html