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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 86–102 (Mi ivm7236)  
On approximate constraint satisfaction

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
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Abstract: We consider an abstract problem on fulfilling asymptotic constraints. We propose a very general approach to constructing “nonsequential” attraction sets in the space of generalized elements formalizable as finitely additive measures. We study the existence and the structure of the asymptote universal in the range of “asymptotic constraints” not requiring the compactifiability of the space of usual solutions.
Keywords: bitopological space, finitely additive measure, extension.
Received: 08.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 75–89
DOI: https://doi.org/10.3103/S1066369X11020095
Bibliographic databases:
Document Type: Article
UDC: 517.972.8
Language: Russian
Citation: A. G. Chentsov, “On approximate constraint satisfaction”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 86–102; Russian Math. (Iz. VUZ), 55:2 (2011), 75–89
Citation in format AMSBIB
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\by A.~G.~Chentsov
\paper On approximate constraint satisfaction
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 2
\pages 86--102
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814824}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 75--89
\crossref{https://doi.org/10.3103/S1066369X11020095}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953021637}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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