Other Compactification Theories
- The theories of ends of a space and prime ends.
- Some 'boundary' theories such as the collaring of an open manifold, Martin boundary, Shilov boundary and Fürstenberg boundary.
- The Bohr compactification of a topological group arises from the consideration of almost periodic functions.
- One can compactify a topological ring by forming a projective line with inversive ring geometry.
- The Baily-Borel compactification of a quotient of a hermitean symmetric space.
- The wonderful compactification of a quotient of algebraic groups.
Read more about this topic: Compactification (mathematics)
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“Whatever practical people may say, this world is, after all, absolutely governed by ideas, and very often by the wildest and most hypothetical ideas. It is a matter of the very greatest importance that our theories of things that seem a long way apart from our daily lives, should be as far as possible true, and as far as possible removed from error.”
—Thomas Henry Huxley (1825–95)