1) Math.: A process applied to topological spaces having
many dimensions to make them compact spaces.
Compactification, n. from → compactify.
Fr.: compactification conforme
A mapping of an infinite → space-time onto a finite one that may make the far away parts of the former accessible to study. The technique invented by Penrose defines an equivalence class of → metrics, gab being equivalent to ĝab = Ω2gab, where Ω is a positive scalar function of the space-time that modifies the distance scale making the asymptotics of the physical metric accessible to study.