Limits Of Incompressible Surfaces

Hugh Nelson Howards

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Limits Of Incompressible Surfaces

Hugh Nelson Howards

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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.

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Hugh Nelson Howards. 1998-06-18. Limits Of Incompressible Surfaces. https://arxiv.org/abs/math/9806101

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