Editing Compactification (mathematics) (section)

== Other compactification theories ==

* The theories of [[end (topology)|ends of a space]] and [[prime end]]s.
* Some 'boundary' theories such as the [[collaring of an open manifold]], [[Martin boundary]], [[Shilov boundary]] and [[Furstenberg boundary]].
* The [[Bohr compactification]] of a [[topological group]] arises from the consideration of [[almost periodic function]]s.
* The [[projective line over a ring]] for a [[topological ring]] may compactify it.
* The [[Baily–Borel compactification]] of a quotient of a [[Hermitian symmetric space]].
* The [[wonderful compactification]] of a quotient of algebraic groups.
* The compactifications that are simultaneously convex subsets in a locally convex space are called [[convex compactification]]s, their additional linear structure allowing e.g. for developing a differential calculus and more advanced considerations e.g. in relaxation in variational calculus or optimization theory.<ref>{{cite book | last=Roubíček | first=T. | author-link=Tomas Roubicek | title=Relaxation in Optimization Theory and Variational Calculus | publisher=[[W. de Gruyter]] |place = Berlin | year=1997 | isbn=3-11-014542-1}}</ref>