Geodesic
On approximate constraint satisfaction
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 86-102

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We consider an abstract problem on fulfilling asymptotic constraints. We propose a very general approach to constructing “nonsequential” attraction sets in the space of generalized elements formalizable as finitely additive measures. We study the existence and the structure of the asymptote universal in the range of “asymptotic constraints” not requiring the compactifiability of the space of usual solutions.
Keywords: bitopological space, finitely additive measure, extension. 
@article{IVM_2011_2_a8,
     author = {A. G. Chentsov},
     title = {On approximate constraint satisfaction},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--102},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_2_a8/}
}
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A. G. Chentsov. On approximate constraint satisfaction. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 86-102. http://geodesic.mathdoc.fr/item/IVM_2011_2_a8/