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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) Russian version article
References:
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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
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”, 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 Math. USSR-Sb.
\yr 1973
\vol 20
\issue 3
\pages 305--321
\mathnet{http://mi.mathnet.ru/eng/sm3118}
\crossref{https://doi.org/10.1070/SM1973v020n03ABEH001877}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=341391}
\zmath{https://zbmath.org/?q=an:0386.54022|0385.54008}
Linking options:
  • https://www.mathnet.ru/eng/sm3118
  • https://doi.org/10.1070/SM1973v020n03ABEH001877
  • https://www.mathnet.ru/eng/sm/v133/i3/p291
    • This publication is cited in the following 2 articles:
    1. V. V. Pashenkov, “Homogeneous and non-homogeneous duality”, Russian Math. Surveys, 42:5 (1987), 95–121  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A. K. Mukherjee, D. K. Goel, “Depolymerization of poly‐ϵ‐caprolactam catalyzed by sodium hydroxide”, J of Applied Polymer Sci, 22:2 (1978), 361  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:348
    Russian version PDF:110
    English version PDF:22
    References:59
     
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