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Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character
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Intelligent Information Management·Volume 02 (2010)·Pages 526–551·Published 13 October 2010·DOI10.4236/iim.2010.29062
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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.
KeywordsControl problemsUltrafiltersTopology
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