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

A [[topological space]] Y is locally compact if every point in X has a neighbourhood that is 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: mathematics]]

[[category: mathematics]]