TITLE:
Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character
AUTHORS:
Alexander Chentsov
KEYWORDS:
Control problems, Ultrafilters, Topology
JOURNAL NAME:
Intelligent Information Management,
Vol.2 No.9,
October
13,
2010
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.