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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 3, Pages 529–554
DOI: https://doi.org/10.1070/IM1987v028n03ABEH000896 (Mi im1500) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Inductive and projective topologies. Sufficient sets and representing systems

Yu. F. Korobeinik
English version PDF (1376 kB) Citations (27) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1987v028n03ABEH000896
Abstract: Conditions are found for the equality of various topologies in inductive limits of spaces of functions defined on an arbitrary set. A new class of sufficient sets is introduced and its connection with classes studied previously is determined. The general dependence between weakly sufficient sets and absolutely representing systems is indicated.
Bibliography: 32 titles.
Received: 11.04.1985
Bibliographic databases:
UDC: 517.9
MSC: Primary 30D10, 30E20, 46A12; Secondary 30B50, 30D15, 46A14
Language: English
Original paper language: Russian
Citation: Yu. F. Korobeinik, “Inductive and projective topologies. Sufficient sets and representing systems”, Math. USSR-Izv., 28:3 (1987), 529–554
Citation in format AMSBIB
\Bibitem{Kor86}
\by Yu.~F.~Korobeinik
\paper Inductive and projective topologies. Sufficient sets and representing systems
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 3
\pages 529--554
\mathnet{http://mi.mathnet.ru/eng/im1500}
\crossref{https://doi.org/10.1070/IM1987v028n03ABEH000896}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854595}
\zmath{https://zbmath.org/?q=an:0628.46004}
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  • https://doi.org/10.1070/IM1987v028n03ABEH000896
  • https://www.mathnet.ru/eng/im/v50/i3/p539
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:535
    Russian version PDF:231
    English version PDF:26
    References:41
    First page:2
     
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