NONCOMPACT TOTALLY PERIPHERAL 3-MANIFOLDS

被引：1
|
作者：
HARRIS, L
SCOTT, P
机构：
[1] University Of Michigan, Ann Arbor, MI
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1995年 / 167卷 / 01期
关键词：
D O I：
10.2140/pjm.1995.167.119
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A 3-manifold is totally peripheral if every loop is freely homotopic into the boundary. It is shown that an orientable 3-manifold M is totally peripheral if and only if there is a boundary component F of M such that the inclusion of F in M induces a surjective map of fundamental groups. If M is non-orientable, there are essentially two counterexamples.
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页码：119 / 127
页数：9
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