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If Y is a compact, [[Hausdorff space]]; X is a topological space such that Y-X contains one element and the closure of X equals Y; then Y is the one-point compactification of X.  The One-point compactification is the minimal compactification one can perform on X.
 
If Y is a compact, [[Hausdorff space]]; X is a topological space such that Y-X contains one element and the closure of X equals Y; then Y is the one-point compactification of X.  The One-point compactification is the minimal compactification one can perform on X.
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[[category: mathematics]]
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[[Category:Topology]]
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