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Boolean algebra (structure)
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== Representations == It can be shown that every ''finite'' Boolean algebra is isomorphic to the Boolean algebra of all subsets of a finite set. Therefore, the number of elements of every finite Boolean algebra is a [[power of two]]. [[Marshall H. Stone|Stone's]] celebrated ''[[Stone's representation theorem for Boolean algebras|representation theorem for Boolean algebras]]'' states that ''every'' Boolean algebra {{math|''A''}} is isomorphic to the Boolean algebra of all [[clopen set]]s in some ([[compact space|compact]] [[totally disconnected]] [[Hausdorff space|Hausdorff]]) topological space.
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