Article ID Journal Published Year Pages File Type
4659433 Topology and its Applications 2011 19 Pages PDF
Abstract

We show that one can embed an arbitrarily large collection of disjoint, incompressible, non-parallel, non-boundary-parallel surfaces in any compact, orientable 3-manifold with at least one boundary component of genus greater than or equal to two.We also provide an answer to the open question, Question III.16, from Jaco's book, Lecture Notes on 3-Manifold Topology.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology