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Matematicheskie Zametki, 1976, Volume 19, Issue 1, Pages 67–84 (Mi mzm7724)  
This article is cited in 2 scientific papers (total in 2 papers)

An expanding system of linearly closed sets

C. G. Slobodnik

Moscow State Pedagogical Institute
Full-text PDF (1468 kB) Citations (2)
Abstract: In this note it is proved that if an open cube in the Euclidean space $R^n$ can be represented in the form of the union of an expanding system of linearly closed sets, then at least one of them has an interior point. This result is applied to the investigation of real-valued functions of several variables.
Received: 11.03.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 1, Pages 39–48
DOI: https://doi.org/10.1007/BF01147616
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: C. G. Slobodnik, “An expanding system of linearly closed sets”, Mat. Zametki, 19:1 (1976), 67–84; Math. Notes, 19:1 (1976), 39–48
Citation in format AMSBIB
\Bibitem{Slo76}
\by C.~G.~Slobodnik
\paper An expanding system of linearly closed sets
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 1
\pages 67--84
\mathnet{http://mi.mathnet.ru/mzm7724}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409742}
\zmath{https://zbmath.org/?q=an:0327.26011}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 1
\pages 39--48
\crossref{https://doi.org/10.1007/BF01147616}
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  • https://www.mathnet.ru/eng/mzm/v19/i1/p67
    • 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
    		Математические заметки Mathematical Notes
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