Journal article
A Topological Splitting Theorem for Poincare Duality Groups and High-dimensional Manifolds
- Abstract:
- We show that for a wide class of manifold pairs N, M satisfying dim(M) = dim(N) + 1, every \pi_1-injective map f : N --> M factorises up to homotopy as a finite cover of an embedding. This result, in the spirit of Waldhausen's torus theorem, is derived using Cappell's surgery methods from a new algebraic splitting theorem for Poincare duality groups. As an application we derive a new obstruction to the existence of \pi_1-injective maps.
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Bibliographic Details
- Publication date:
- 2011-10-10
- Source identifiers:
-
189157
Item Description
- Keywords:
- Pubs id:
-
pubs:189157
- UUID:
-
uuid:3629b7e4-14f1-4914-9b2f-f8820efe4eb2
- Local pid:
- pubs:189157
- Deposit date:
- 2013-11-16
Terms of use
- Copyright date:
- 2011
- Notes:
- This is the final version of our article `Topological Superrigidity'
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