A topological space fulfilling the T0-separation axiom: For any two points 
,
there is an open set 
such that 
and 
or 
and 
. Alexandroff and Hopf (1972) call 
-spaces Kolmogorov spaces.
T_0-Space
See also
Hausdorff Axioms, Separation Axioms, T1-Space, T2-Space, T3-Space, T4-SpaceThis entry contributed by Margherita Barile
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References
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. https://mathworld.wolfram.com/T0-Space.html