%0 Journal Article %T Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character %A Alexander Chentsov %J Intelligent Information Management %P 526-551 %@ 2160-5920 %D 2010 %I Scientific Research Publishing %R 10.4236/iim.2010.29062 %X 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. %K Control problems %K Ultrafilters %K Topology %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=2780