The topological representation of oriented matroids

被引：5
|
作者：
Bokowski, J
King, S
Mock, S
Streinu, I
机构：
[1] Tech Univ Darmstadt, Dept Math, D-654289 Darmstadt, Germany
[2] Smith Coll, Dept Comp Sci, Northampton, MA 01063 USA
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2005年 / 33卷 / 04期
关键词：
D O I：
10.1007/s00454-005-1164-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present a new proof of the Topological Representation Theorem for oriented matroids in the general rank case. Our proof is based on an earlier rank 3 version. It uses hyperline sequences and the generalized Schonflies theorem. As an application, we show that one can read off oriented matroids from arrangements of embedded spheres of codimension one, even if wild spheres are involved.
引用
收藏
页码：645 / 668
页数：24
相关论文
共 50 条
12345