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A [[topological space]] X is locally compact if every point in X has a neighbourhood that is contained in a compact subspace of X.

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]].

'''Important Theorem''': Every locally compact [[Hausdorff space]] has a [[one-point compactification]].

[[category: Topology]]

[[category: Topology]]