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.
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页码：312 / 315
页数：4
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