New Examples of Oriented Matroids with Disconnected Realization Spaces

被引：3

作者：

Tsukamoto, Yasuyuki ^{[1
]}

机构：

[1] Kyoto Univ, Dept Human Coexistence, Sakyo Ku, Kyoto 6068501, Japan

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2013年 / 49卷 / 02期

关键词：

Oriented matroids; Realization space;

D O I：

10.1007/s00454-012-9456-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We construct oriented matroids of rank 3 on 13 points whose realization spaces are disconnected. They are defined on smaller point-sets than the known examples with this property. Moreover, we construct one on 13 points whose realization space is a connected but non-irreducible semialgebraic variety.

引用

页码：287 / 295

页数：9