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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.
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<nowiki>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]]
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[[category: Topology]]</nowiki>
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