The definition used is this article is in contradiction with the usage of the term elsewhere in Wikipedia. Please see the discussion on the talk page.
In mathematics, in the branch of general topology, an Urysohn space (also called a functionally Hausdorff space) is a type of a topological space. Such a space has the important property that any two distinct points in the space can be "well separated" from each other.
Formally, a topological space X is called an Urysohn space, if given any two distinct points x and y in X, there is a continuous function
f:X → [0,1]
from X to the unit interval, with its usual topology, such that
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