Geodesic
Tier mappings and ultrafilter-based transformations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 298-314 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider issues related to the solution of abstract attainability problems in topological spaces under constrains of asymptotic nature. The substantial part of the research is concerned with studying the properties of tier mappings (which are limits of step mappings) with values in a complete metric space and of mappings with tier components.
Keywords: constrains of asymptotic nature, ultrafilter, tier mapping. 
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A. G. Chentsov. Tier mappings and ultrafilter-based transformations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 298-314. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a26/

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