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：

暂无

中图分类号：

学科分类号：

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.

引用

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页码：29 / 48

页数：19

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