This article is cited in 2 papers

Representations of topological spaces on Boolean algebras of regular open sets

V. V. Pashenkov


Abstract: Every semiregular topological space is naturally homeomorphic to a suitably topologized set of certain filters of the Boolean algebra of its regular subsets. This homeomorphism is applied to the investigation of irreducible maps of compact spaces. The selected system of filters serves to induce a topology on the above Boolean algebra completely characterizing the original space.
Bibliography: 7 titles.

UDC: 513.83

MSC: Primary 54D10, 54H10; Secondary 06A40

Received: 29.11.1971

 English version: Mathematics of the USSR-Sbornik, 1973, 20:3, 305–321

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