Difference between revisions of "Locally compact"
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'''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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Revision as of 16:58, April 1, 2007
A topological space X 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.