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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 3, Pages 407–424
DOI: https://doi.org/10.1070/SM1972v018n03ABEH001830 (Mi sm3241) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On $H$-closed extensions of $\theta$-proximity spaces

V. V. Fedorchuk
English version PDF (1090 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1972v018n03ABEH001830
Abstract: In this paper we introduce the concept of extension of a $\theta$-proximity space (see V. V. Fedorchuk, Perfect irreducible mappings and generalized proximities, Math. Sb. (N.S.) 76(118) (1968), 513–536). It is proved that every $\theta$-proximity space has an $H$-closed extension. In the set of $\theta$-proximity $H$-closed extensions of a given $\theta$-proximity space there is a least element.
Bibliography: 11 titles.
Received: 24.12.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 3(11), Pages 400–418
Bibliographic databases:
UDC: 513.83
MSC: Primary 54E05; Secondary 54C99, 54D99
Language: English
Original paper language: Russian
Citation: V. V. Fedorchuk, “On $H$-closed extensions of $\theta$-proximity spaces”, Mat. Sb. (N.S.), 89(131):3(11) (1972), 400–418; Math. USSR-Sb., 18:3 (1972), 407–424
Citation in format AMSBIB
\Bibitem{Fed72}
\by V.~V.~Fedorchuk
\paper On $H$-closed extensions of $\theta$-proximity spaces
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 3(11)
\pages 400--418
\mathnet{http://mi.mathnet.ru/sm3241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=328868}
\zmath{https://zbmath.org/?q=an:0253.54022}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 3
\pages 407--424
\crossref{https://doi.org/10.1070/SM1972v018n03ABEH001830}
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    • 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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    Statistics & downloads:
    Abstract page:388
    Russian version PDF:90
    English version PDF:13
    References:49
    First page:2
     
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