# 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} }

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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