Compactification (mathematics) - Other Compactification Theories

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.