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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]] X is locally compact if every point in X has a neighbourhood that is a compact subspace of X.
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Important Theorem: Every locally compact Hausdorff space has a [[one-point compactification]].
    
[[category: mathematics]]
 
[[category: mathematics]]
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