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Mathematics of the USSR-Sbornik, 1973, Volume 20, Issue 3, Pages 305–321
DOI: https://doi.org/10.1070/SM1973v020n03ABEH001877 (Mi sm3118) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Representations of topological spaces on Boolean algebras of regular open sets

V. V. Pashenkov
English version PDF (1166 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1973v020n03ABEH001877
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.
Received: 29.11.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 91(133), Number 3(7), Pages 291–309
Bibliographic databases:
UDC: 513.83
MSC: Primary 54D10, 54H10; Secondary 06A40
Language: English
Original paper language: Russian
Citation: V. V. Pashenkov, “Representations of topological spaces on Boolean algebras of regular open sets”, Mat. Sb. (N.S.), 91(133):3(7) (1973), 291–309; Math. USSR-Sb., 20:3 (1973), 305–321
Citation in format AMSBIB
\Bibitem{Pas73}
\by V.~V.~Pashenkov
\paper Representations of topological spaces on Boolean algebras of regular open sets
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 91(133)
\issue 3(7)
\pages 291--309
\mathnet{http://mi.mathnet.ru/sm3118}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=341391}
\zmath{https://zbmath.org/?q=an:0386.54022|0385.54008}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 20
\issue 3
\pages 305--321
\crossref{https://doi.org/10.1070/SM1973v020n03ABEH001877}
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  • https://www.mathnet.ru/eng/sm/v133/i3/p291
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:323
    Russian version PDF:106
    English version PDF:18
    References:50
     
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