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Alexander's subbase theorem

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Alexander's subbase theorem [‚al·ig′zan·dərz ¦səb‚bās ‚thir·əm]
(mathematics)
The theorem that a topological space is compact if and only if its topology has a subbase with the property that any set that is contained in the union of a collection of members of the subbase is contained in the union of a finite number of members of this collection.


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