Topological complexity of generic hyperplane complements

被引:0
作者
Yuzvinsky, Sergey [1 ]
机构
[1] Univ Oregon, Eugene, OR 97403 USA
来源
Topology and Robotics | 2007年 / 438卷
关键词
topological complexity; motion planning algorithm; Schwarz genus; hyperplane arrangements;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the topological complexity of (a motion planning algorithm on) the complement of generic complex essential hyperplane arrangement of n hyperplanes in an r-dimensional linear space is min{n + 1, 2r}.
引用
收藏
页码:115 / 119
页数:5
相关论文
共 5 条
[1]   Instabilities of robot motion [J].
Farber, M .
TOPOLOGY AND ITS APPLICATIONS, 2004, 140 (2-3) :245-266
[2]  
Farber M, 2003, DISCRETE COMPUT GEOM, V29, P211, DOI 10.1007/S00454-002-0760-9
[3]  
Farber M., 2004, TRANSLATIONS AM MA 2, V212, P145, DOI DOI 10.1090/TRANS2/212/07
[4]  
Orlik P., 1992, ARRANGEMENTS HYPERPL, V300
[5]  
Schwarz AS, 1966, Amer. Math. Soc. Transl., P49