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Locally compact
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Revision as of 21:50, January 3, 2012
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21:50, January 3, 2012
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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]].
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[[category: Topology]]
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[[category: Topology]]
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NoohWicky
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