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A topological space X {\displaystyle X} is termed a Urysohn space if given any two distinct points x , y ∈ X {\displaystyle x,y\in X} , there exists a continuous function f : X → [ 0 , 1 ] {\displaystyle f:X\to [0,1]} such that f ( x ) = 0 {\displaystyle f(x)=0} , <math<f(y) = 1</math>.
![{\displaystyle f:X\to [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fbce99d737c06662e393d2d3dba7505a1e6c6eb6)
