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Stone's representation theorem for Boolean algebras
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, Stone's representation theorem for Boolean algebras states that every <a href="/facts/Boolean_algebra_(structure)/cHbo65jm">Boolean algebra</a> is <a href="/facts/Isomorphic/pj8KgkxU">isomorphic</a> to a certain <a href="/facts/Field_of_sets/4E3vQl4f">field of sets</a>. The theorem is fundamental to the deeper understanding of <a href="/facts/Boolean_logic/VkCToAmg">Boolean algebra</a> that emerged in the first half of the 20th century. The theorem was first proved by <a href="/facts/Marshall_H._Stone/TFzbE4GH">Marshall H. Stone</a>. Stone was led to it by his study of the <a href="/facts/Spectral_theory/8sAEEIMM">spectral theory</a> of <a href="/facts/Linear_operator/Q1PBKNVV">operators</a> on a <a href="/facts/Hilbert_space/aDFMh4lV">Hilbert space</a>. </p>