This article is cited 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

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.

UDC: 517.972

Received: 19.08.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:10, 38–49

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