Locally compact
This is an old revision of this page, as edited by Jaques (talk | contribs) at 20:48, April 3, 2007. It may differ significantly from current revision.
A topological space X is locally compact if every point in X has a neighbourhood that is contained in a compact subspace of X.
Important Theorem: Every locally compact Hausdorff space has a one-point compactification.