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Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character

DOI: 10.4236/iim.2010.29062, PP. 526-551

Keywords: Control problems, Ultrafilters, Topology

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Abstract:

Abstract problems about attainability in topological spaces are considered. Some nonsequential version of the Warga approximate solutions is investigated: we use filters and ultrafilters of measurable spaces. Attrac- tion sets are constructed. AMS (MOS) subject classification. 46A, 49 K 40.

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