A lattice-theoretical characterization of oriented matroids

被引：5
|
作者：
Hochstattler, W [1 ]
机构：
[1] UNIV COLOGNE,ZENTRUM PARALLELES RECHNEN,D-50923 COLOGNE,GERMANY
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 1997年 / 18卷 / 05期
关键词：
D O I：
10.1006/eujc.1995.0120
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If P is the big face lattice of the covectors of an oriented matroid, it is well known that the zero map is a cover-preserving, order-reversing surjection onto the geometric lattice of the underlying (unoriented) matroid. In this paper we give a (necessary and) sufficient condition for such maps to come from the face lattice of an oriented matroid. (C) 1997 Academic Press Limited.
引用
收藏
页码：563 / 574
页数：12
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