Topological rigidity for non-aspherical manifolds

@article{Kreck2005TopologicalRF,
  title={Topological rigidity for non-aspherical manifolds},
  author={M. Kreck and W. Lueck},
  journal={Pure and Applied Mathematics Quarterly},
  year={2005},
  volume={5},
  pages={873-914}
}
  • M. Kreck, W. Lueck
  • Published 2005
  • Mathematics
  • Pure and Applied Mathematics Quarterly
The Borel Conjecture predicts that closed aspherical manifolds are topological rigid. We want to investigate when a non-aspherical oriented connected closed manifold M is topological rigid in the following sense. If f : N ! M is an orientation preserving homotopy equivalence with a closed oriented manifold as target, then there is an orientation preserving homeomorphism h: N ! M such that h and f induce up to conjugation the same maps on the fundamental groups. We call such manifolds Borel… Expand
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