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

被引：0
|
作者：
A. G. Chentsov
机构：
[1] Ural Branch of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
[2] Ural Federal University,Institute of Radioelectronics and Information Technologies
来源：
Proceedings of the Steklov Institute of Mathematics | 2014年 / 287卷
关键词：
measurable space; attraction set; ultrafilter;
D O I：
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摘要：
We study ultrafilters of broadly understood measurable spaces and possibilities of their application as generalized elements in the construction of attraction sets in abstract reachability 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 their sets) are built constructively.
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页码：29 / 48
页数：19
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