AN ELEMENTARY NONSTANDARD PROOF OF STONE REPRESENTATION THEOREM

被引：0

作者：

BRUNET, B

机构：

[1] Université Blaise Pascal, Aubiere Cedex

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 1991年 / 35卷 / 02期

关键词：

D O I：

10.1215/ijm/1255987899

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A neat nonstandard proof of Stone’s representation theorem is given. Improving on previous proofs (Loeb [5], Brunet [2]), it uses the remarkably simple fact that infinitesimal members of a filter on X, in any enlargement, are always compact for a natural topology on *X. © 1991 by the Board of Trustees of the University of Illinois.

引用

页码：312 / 315

页数：4

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