共 33 条
- [31] Willard S., 1970, General topology
- [32] [No title captured]
- [33] [No title captured]
Normally Preordered Spaces and Utilities
被引：27
作者：
Minguzzi, Ettore
[1
]
机构：
[1] Univ Florence, Dipartimento Matemat Applicata G Sansone, I-50139 Florence, Italy
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
|
2013年
/
30卷
/
01期
关键词：
Normally preordered space;
Monotone normal pospace;
k-space;
Utility;
SZPILRAJN THEOREM;
CONTINUOUS ANALOG;
REPRESENTATION;
EXISTENCE;
D O I：
10.1007/s11083-011-9230-4
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
In applications it is useful to know whether a topological preordered space is normally preordered. It is proved that every k (omega) -space equipped with a closed preorder is a normally preordered space. Furthermore, it is proved that second countable regularly preordered spaces are perfectly normally preordered and admit a countable utility representation.
引用
收藏
页码：137 / 150
页数：14
相关论文