Noun
(topology) Any of various procedures of enlarging a topological space to make it compact.
(topology) The space resulting from any such procedure.
(physics) Any modification of a theory such that an infinite parameter becomes finite.
(physics) The reduction of the number of large spacetime dimensions of a physical theory by making some of them compact.
Source: en.wiktionary.orgAlso, a subset of a normal space need not be normal (i.e. not every normal Hausdorff space is a completely normal Hausdorff space), since every Tychonoff space is a subset of its Stone–Čech compactification (which is normal Hausdorff). Source: Internet
Becker, Becker, and Schwarz 2007, p. 12 Number of dimensions main An example of compactification : At large distances, a two dimensional surface with one circular dimension looks one-dimensional. Source: Internet
But in fact, there is a simpler method available in the locally compact case; the one-point compactification will embed X in a compact Hausdorff space a(X) with just one extra point. Source: Internet
Every sequence that ran off to infinity in the real line will then converge to ∞ in this compactification. Source: Internet
Forming the one-point compactification a(X) of X corresponds under this duality to adjoining an identity element to C 0 (X). Source: Internet
For such spaces the Alexandroff extension is called the one-point compactification or Alexandroff compactification. Source: Internet