A topological space fulfilling the T0-separation axiom: For any two points x,y in X, there is an open set U such that x in U and y not in U or y in U and x not in U. Alexandroff and Hopf (1972) call T_0-spaces Kolmogorov spaces.

See also

Hausdorff Axioms, Separation Axioms, T1-Space, T2-Space, T3-Space, 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_0-Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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