Some remarks on pseudotrees

被引：4

作者：

Alós-Ferrer, C

Ritzberger, K

机构：

[1] Univ Vienna, Dept Econ, A-1010 Vienna, Austria

[2] Inst Adv Studies, Dept Econ & Finance, A-1060 Vienna, Austria

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2005年 / 22卷 / 01期

关键词：

D O I：

10.1007/s11083-005-9001-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides new results on pseudotrees. First, it is shown that pseudotrees are precisely those posets for which consistent sets, directed sets, and nonempty chains coincide. Second, we show that chain-complete pseudotrees yield complete meet-semilattices. Third, we prove that pseudotrees are precisely those posets that admit a set representation by sets of appropriate chains. This latter result generalizes results needed for applications in game theory and economics.

引用

页码：1 / 9

页数：9

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