LINEARLY ORDERED TOPOLOGICAL SPACES AND WEAK DOMAIN REPRESENTABILITY

被引：0
|
作者：
Mashburn, Joe [1 ]
机构：
[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA
来源：
TOPOLOGY PROCEEDINGS, VOL 35 | 2010年 / 35卷
关键词：
Weak domain; weak domain representable; linearly ordered topological space; Baire; domain; domain representable;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that domain representable spaces, that is topological spaces that are homeomorphic to the space of maximal elements of some domain, must be Baire. In this paper it is shown that every linearly ordered topological space (LOTS) is homeomorphic to an open dense subset of a weak domain representable space. This means that weak domain representable spaces need not be Baire.
引用
收藏
页码：149 / 164
页数：16
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