Compactification (mathematics)

In mathematics, in general topology, compactification is the process or result of making a topological space into a compact space.^[1] A compact space is a space in which every open cover of the space contains a finite subcover. The methods of compactification are various, but each is a way of controlling points from "going off to infinity" by in some way adding "points at infinity" or preventing such an "escape".