Sierpiński space
From Wikipedia, the free encyclopedia
Not to be confused with Sierpiński set.
In mathematics, the Sierpiński space is a finite topological space with two points, only one of which is closed.[1] It is the smallest example of a topological space which is neither trivial nor discrete. It is named after Wacław Sierpiński.
The Sierpiński space has important relations to the theory of computation and semantics,[2][3] because it is the classifying space for open sets in the Scott topology.