👉 A compactification of a topological space is an operation that takes a given space and produces a new space that is "close" to the original space, but with certain properties. A compact set in this context means a subset of the space that can be covered by a finite number of open sets, where each open set contains a non-empty compact set as its interior. The goal of compactification is to make a topological space into a smaller, more manageable space while preserving many of its essential
