Abstract
A space X is called compact if every open cover of X contains a finite subcover. A compact Hausdorff space will be called a compactum. We shall see that the Hausdorff separation axiom has a great impact on the properties of compact spaces.KeywordsCompact SpaceOpen CoverClosed SubspaceHausdorff SpaceMetrizable SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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