Problems of set-theoretic non-standard analysis

被引:4
|
作者
Kanovei, V. G. [1 ]
Lyubetskii, V. A. [1 ]
机构
[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia
关键词
D O I
10.1070/RM2007v062n01ABEH004381
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main results in the area of set-theoretic non-standard analysis (non-standard set and class theories) obtained over the last few years are presented. It is demonstrated how a universe of a comparably simple theory (beginning with the usual Zermelo-Fraenkel set theory ZFC) can be extended to a universe of a more complicated non-standard set or class theory. The last section develops the foundations of Boolean-valued analysis as a part of set-theoretic non-standard analysis.
引用
收藏
页码:45 / 111
页数:67
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