Limits Of Incompressible Surfaces
Geometric Topology
2007-05-23 v1
Abstract
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 [4]. 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.
Cite
@article{arxiv.math/9806101,
title = {Limits Of Incompressible Surfaces},
author = {Hugh Nelson Howards},
journal= {arXiv preprint arXiv:math/9806101},
year = {2007}
}
Comments
8 pages, Latex, psfig, to be published in Topology and Its Applications