noncompact

Adjective

Meaning

noncompact (not comparable)

(topology) Not compact.

Examples

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

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