Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character ()
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.
Share and Cite:
A. Chentsov, "Filters and Ultrafilters as Approximate Solutions in the Attainability Problems with Constraints of Asymptotic Character,"
Intelligent Information Management, Vol. 2 No. 9, 2010, pp. 526-551. doi:
10.4236/iim.2010.29062.
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