Page "Hausdorff space" Paragraph 4

X is a Hausdorff space if any two distinct points of X can be separated by neighborhoods.

This condition is the third separation axiom ( after T < sub > 0 </ sub > and T < sub > 1 </ sub >), which is why Hausdorff spaces are also called T < sub > 2 </ sub > spaces.

The name separated space is also used.