COMBINATORICS OF TRIANGULATIONS OF 3-MANIFOLDS

被引:15
作者
LUO, F [1 ]
STONG, R [1 ]
机构
[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024
关键词
D O I
10.2307/2154248
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the average edge order of triangulations of closed 3-manifolds and show in particular that the average edge order being less than 4.5 implies that triangulation is on the 3-sphere.
引用
收藏
页码:891 / 906
页数:16
相关论文
共 5 条
[1]  
Barnette, 1973, J COMB THEORY A, V14, P37
[2]  
Grunbaum B., 2003, CONVEX POLYTOPES, V2nd
[3]  
Hempel J, 1976, 3 MANIFOLDS
[4]  
Oda T, 1985, CONVEX BODIES ALGEBR
[5]  
Spanier E. H., 1966, ALGEBRAIC TOPOLOGY, DOI 10.1007/978-1-4684-9322-1