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)
Famous quotes containing the word theories:
“Generalisation is necessary to the advancement of knowledge; but particularly is indispensable to the creations of the imagination. In proportion as men know more and think more they look less at individuals and more at classes. They therefore make better theories and worse poems.”
—Thomas Babington Macaulay (1800–1859)