A topological space fulfilling the 
-axiom: i.e., any two points have disjoint neighborhoods.
In the terminology of Alexandroff and Hopf (1972), a 
-space is called a Hausdorff space. A 
-space is sometimes said to "have Hausdorff topology"
or "be Hausdorff." An Etale space provides
an example of a space that is not 
.
T_2-Space
See also
Hausdorff Axioms, Hausdorff Measure, Separation Axioms, T0-Space, T1-Space, T2-Separation Axiom, T3-Space, T4-Space, Topological SpacePortions of this entry contributed by Margherita Barile
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References
Alexandroff, P. and Hopf, H. Topologie, Vol. 1. New York: Chelsea, 1972.Porter, J. R. Extensions and Absolutes of Hausdorff Spaces. New York: Springer-Verlag, 1987.Cite this as:
Barile, Margherita and Weisstein, Eric W. "T_2-Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/T2-Space.html