Intersection patterns of essential surfaces in 3-manifolds

被引：5

作者：

Rubinstein, H ^{[1
]}

Sageev, M ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

来源：

TOPOLOGY | 1999年 / 38卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1016/S0040-9383(98)00054-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the intersection pattern of planes associated to an immersed incompressible surface in a 3-manifold. We establish the finite plane intersection property for immersed incompressible surfaces in certain 3-manifolds. For geometrically finite surfaces in closed, hyperbolic 3-manifolds, we show that there exists a finite cover of the surface cover in which all the sheets are embedded. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：1281 / 1291

页数：11

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