On Nash's 4-sphere and Property 2R

被引：2
|
作者：
Tange, Motoo [1 ]
机构：
[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 02期
关键词：
Homotopy; 4-spheres; Property; 2R; handle calculus; ANDREWS-CURTIS; STANDARD;
D O I：
10.3906/mat-1104-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
D. Nash defined a family of homotopy 4-spheres in [11]. Proving that his manifolds S-m,S-n,S-m'n' are all real S-4, we show that they have handle decomposition with no 1-handles, two 2-handles and two 3-handles. The handle structures give new potential counterexamples to the Property 2R conjecture.
引用
收藏
页码：360 / 374
页数：15
相关论文
共 50 条
12345