Adjective
noncompact (not comparable)
(topology) Not compact.
The one-point compactification In particular, the Alexandroff extension is a compactification of X if and only if X is Hausdorff, noncompact and locally compact. Source: Internet
If the causality violation developed from a noncompact initial surface, the averaged weak energy condition must be violated on the Cauchy horizon." Source: Internet
Thus a space can only admit a one-point compactification if it is locally compact, noncompact and Hausdorff. Source: Internet