In mathematics, a Parovicenko space is a topological space similar to the space of non-isolated points of the Stone–Čech compactification of the integers.
Definition.
A Parovicenko space is a topological space "X" satisfying the following conditions:
Properties.
The space βN\N is a Parovicenko space, where βN is the Stone–Čech compactification of the natural numbers N. proved that the continuum hypothesis implies that every Parovicenko space is isomorphic to βN\N. showed that if the continuum hypothesis is false then there are other examples of Parovicenko spaces.