Attaching Boundary Planes to Irreducible Open 3-manifolds
نویسنده
چکیده
Given any connected, open 3-manifold U having finitely many ends, a non-compact 3-manifold M is constructed having the following properties: the interior of M is homeomorphic to U ; the boundary of M is the disjoint union of finitely many planes; M is not almost compact; M is eventually end-irreducible; there are no proper, incompressible embeddings of S ×R in M ; every compact subset of M is contained in a larger compact subset whose complement is anannular; there is a compact subset of M whose complement is P-irreducible. If U is irreducible it also has the following two properties: every proper, non-trivial plane in M is boundary-parallel; every proper surface in M each component of which has non-empty boundary and is non-compact and simply connected lies in a collar
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