properties of compact spaces
We list the following commonly quoted properties of compact^{} topological spaces^{}.

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A closed subset of a compact space is compact

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A compact subspace^{} of a Hausdorff space is closed

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The continuous^{} image of a compact space is compact

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Compactness is equivalent^{} to sequential compactness in the metric topology
Title  properties of compact spaces 

Canonical name  PropertiesOfCompactSpaces 
Date of creation  20130322 13:25:07 
Last modified on  20130322 13:25:07 
Owner  rspuzio (6075) 
Last modified by  rspuzio (6075) 
Numerical id  7 
Author  rspuzio (6075) 
Entry type  Result 
Classification  msc 54D30 