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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 289–307 (Mi timm1022)  
This article is cited in 6 scientific papers (total in 6 papers)

On the question of representation of ultrafilters and their application in extension constructions

A. G. Chentsovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (270 kB) Citations (6)
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Abstract: We study ultrafilters of widely understood measurable spaces and possibilities of their application as generalized elements in the construction of attraction sets in abstract attainability problems with constraints of asymptotic nature. A class of measurable spaces is specified for which all ultrafilters including free ultrafilters (with empty intersection of all of its sets) are built constructively.
Keywords: measurable space, attraction set, ultrafilter.
Received: 12.04.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 29–48
DOI: https://doi.org/10.1134/S0081543814090041
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. G. Chentsov, “On the question of representation of ultrafilters and their application in extension constructions”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 289–307; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 29–48
Citation in format AMSBIB
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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