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Limits Of Incompressible Surfaces | Hugh Nelson Howards
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18 Jun 1998 | Subject: | Geometric Topology MSC-class: 57M99 | math.GT | 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. | Source: | arXiv, math.GT/9806101 | Services: | Forum | Review | PDF | Favorites |
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