Geodesic
Representation of attraction elements in abstract attainability problems with asymptotic constraints
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 45-59

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We consider an abstract attainability problem with asymptotic constraints in a topological space. We construct an extension in the class of ultrafilters of widely interpreted measurable spaces. We study an example of a static problem on the asymptotic attainability in the class of layer functions.
Keywords: attraction set, extension, topological space, ultrafilter. 
@article{IVM_2012_10_a3,
     author = {A. G. Chentsov},
     title = {Representation of attraction elements in abstract attainability problems with asymptotic constraints},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {45--59},
     publisher = {mathdoc},
     number = {10},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_10_a3/}
}
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A. G. Chentsov. Representation of attraction elements in abstract attainability problems with asymptotic constraints. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 45-59. http://geodesic.mathdoc.fr/item/IVM_2012_10_a3/