T_2-Separation Axiom

Given any two distinct points x,y, there exist neighborhoods u and v of x and y, respectively, with u intersection v=emptyset. It then follows that finite subsets are closed.

See also

Separation Axioms, Set Closure, T2-Space

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Cite this as:

Weisstein, Eric W. "T_2-Separation Axiom." From MathWorld--A Wolfram Web Resource.

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