Model approach to nonstandard analysis an the context of axiomatic set theory

被引：0

作者：

Yakovlev, IV ^{[1
]}

机构：

[1] Moscow State Inst Elect & Math, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2006年 / 79卷 / 1-2期

关键词：

nonstandard analysis; Zermelo-Fraenkel set theory with atoms; superstructure; atom; model approach; ultraproduct; Mostowski function;

D O I：

10.1007/s11006-006-0012-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the model approach to nonstandard analysis is developed on the basis of Zermelo-Fraenkel axiomatic set theory with atoms. The traditional consideration of the standard superstructure V as the primary object of nonstandard analysis is justified. Set-theoretic axioms for the nonstandard system V-* are obtained.

引用

页码：122 / 128

页数：7

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