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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 45–59 (Mi ivm8744)  
This article is cited in 11 scientific papers (total in 11 papers)

Representation of attraction elements in abstract attainability problems with asymptotic constraints

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (254 kB) Citations (11)
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Abstract: We consider an abstract attainability problem with asymptotic constraints in a topological space. We construct an extension in the class of ultrafilters of widely interpreted measurable spaces. We study an example of a static problem on the asymptotic attainability in the class of layer functions.
Keywords: attraction set, extension, topological space, ultrafilter.
Received: 19.08.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 10, Pages 38–49
DOI: https://doi.org/10.3103/S1066369X12100040
Bibliographic databases:
Document Type: Article
UDC: 517.972
Language: Russian
Citation: A. G. Chentsov, “Representation of attraction elements in abstract attainability problems with asymptotic constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 45–59; Russian Math. (Iz. VUZ), 56:10 (2012), 38–49
Citation in format AMSBIB
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\by A.~G.~Chentsov
\paper Representation of attraction elements in abstract attainability problems with asymptotic constraints
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 10
\pages 45--59
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137058}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 10
\pages 38--49
\crossref{https://doi.org/10.3103/S1066369X12100040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869473748}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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