TOPOLOGICAL COMPLEXITY OF SPATIAL POLYGON SPACES

被引：1

作者：

Davis, Donald M. ^{[1
]}

机构：

[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 08期

关键词：

Topological complexity; spatial polygon spaces;

D O I：

10.1090/proc/12998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (l) over bar = (l(1),..., l(n)) be an n-tuple of positive real numbers, and let N((l) over bar) denote the space of equivalence classes of oriented n-gons in R-3 with consecutive sides of lengths l(1),...,l(n), identified under translation and rotation of R-3. Using known results about the integral cohomology ring, we prove that its topological complexity satisfies TC(N((l) over bar)) = 2n-5, provided that N((l) over bar) is nonempty and contains no straight-line polygons.

引用

页码：3643 / 3645

页数：3