Limits of incompressible surfaces

被引：1

作者：

Howards, HN ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1999年 / 99卷 / 01期

关键词：

incompressible surface; Haken finiteness; parallel surfaces;

D O I：

10.1016/S0166-8641(98)00083-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

One can embed arbitrarily many disjoint, non-parallel, non-boundary parallel, incompressible surfaces in any three manifold with at least one boundary component of genus two or greater (Howards, 1998). This paper proves the contrasting, but not contradictory result that although one can sometimes embed arbitrarily many surfaces in a 3-manifold it is impossible to ever embed an infinite number of such surfaces in any compact, orientable 3-manifold M. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：117 / 122

页数：6