If it looks and smells like the reals ...

被引：0

作者：

Tall, FD ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

FUNDAMENTA MATHEMATICAE | 2000年 / 163卷 / 01期

关键词：

elementary submodel; real line; locally compact separable metric space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a topological space [X,T] is an element of M, an elementary submodel of set theory, we define X-M to be X boolean AND M with topology generated by {U boolean AND M : U is an element of T boolean AND M}. We prove that if X-M is homeomorphic to R, then X = X-M. The same holds for arbitrary locally compact uncountable separable metric spaces, but is independent of ZFC if "local compactness" is omitted.

引用

页码：1 / 11

页数：11

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