A topological space fulfilling the T3-separation axiom: X fulfils the T1-separation axiom and is regular. According to the terminology of Alexandroff and Hopf (1972), T_3-spaces are called Vietoris spaces.

See also

Hausdorff Axioms, Separation Axioms, T0-Space, T1-Space, T2-Space, T3-Separation Axiom, T4-Space

This entry contributed by Margherita Barile

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Alexandroff, P. and Hopf, H. Topologie, Vol. 1. New York: Chelsea, 1972.

Cite this as:

Barile, Margherita. "T_3-Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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