ON 4-MANIFOLDS WITH FINITELY DOMINATED COVERING-SPACES

被引：0
|
作者：
HILLMAN, JA
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 121卷 / 02期
关键词：
FINITELY DOMINATED; 4-MANIFOLD; MAPPING TORUS; PD3-COMPLEX; SURFACE BUNDLE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that if the universal covering space M of a closed 4-manifold M is finitely dominated then either M is aspherical, or M is homotopy equivalent to S2 or S3, pi1(M) is finite. We also give a criterion for a closed 4-manifold to be homotopy equivalent to one which fibres over the circle.
引用
收藏
页码：619 / 626
页数：8
相关论文
共 50 条
12345