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

页码：137 / 150

页数：14

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