TOPOLOGICAL REPRESENTATION OF POSETS

被引：2

作者：

DAVID, E

机构：

来源：

ALGEBRA UNIVERSALIS | 1993年 / 30卷 / 02期

关键词：

AMS:; 06A99; 06E15;

D O I：

10.1007/BF01196093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There is a canonical imbedding of a poset into a complete Boolean lattice and hence into a Boolean lattice. This gives it a representation as a collection of clopen sets of a Boolean space. There are reflective functions from a category of distributive posets to the subcategories of distributive and Boolean lattices and consequently a topological dual equivalence that extends the Stone duality of Boolean lattices.

引用

页码：221 / 233

页数：13