Attaching boundary planes to irreducible open 3-manifolds

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Attaching Boundary Planes to Irreducible Open 3-manifolds

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 c...

متن کامل

Attaching handlebodies to 3–manifolds

The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3–manifold. The existence of a finite set of ‘exceptional’ curves on the boundary of the 3–manifold is established. Provided none of these curves is attached to the boundary of a disc in a handlebody, the resulting manifold is shown to be word hyperbolic ...

متن کامل

Irreducible triangulations of 2-manifolds with boundary

This is a talk on joint work with Maŕıa José Chávez, Seiya Negami, Antonio Quintero, and Maŕıa Trinidad Villar. A triangulation of a 2-manifold M is a simplicial 2-complex with underlying space homeomorphic to M . The operation of contraction of an edge e in a triangulation T of M is the operation which consists in contracting e to a single vertex and collapsing each face that meets e to a sing...

متن کامل

R 2 -irreducible Universal Covering Spaces of P 2 -irreducible Open 3-manifolds

An irreducible open 3-manifold W is R 2-irreducible if it contains no non-trivial planes, i.e. given any proper embedded plane in W some component of W ? must have closure an embedded halfspace R 2 0; 1). In this paper it is shown that if M is a connected, P 2-irreducible, open 3-manifold such that 1 (M) is nitely generated and the universal covering space f M of M is R 2-irreducible, then eith...

متن کامل

- Irreducible Universal Covering Spaces of P 2 - Irreducible Open 3 - Manifolds

An irreducible open 3-manifold W is R-irreducible if it contains no non-trivial planes, i.e. given any proper embedded plane Π in W some component of W −Π must have closure an embedded halfspace R × [0,∞). In this paper it is shown that if M is a connected, P-irreducible, open 3-manifold such that π1(M) is finitely generated and the universal covering space M̃ of M is R-irreducible, then either ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Quarterly Journal of Mathematics

سال: 1997

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qjmath/48.191.363