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STRONG JORDAN SEPARATION AND APPLICATIONS TO RIGIDITY
Published online by Cambridge University Press: 16 June 2006
Abstract
We prove that simple, thick hyperbolic P-manifolds of dimension at least three exhibit Mostow rigidity. We also prove a quasi-isometry rigidity result for the fundamental groups of simple, thick hyperbolic P-manifolds of dimension at least three. The key tool in the proof of these rigidity results is a strong form of the Jordan separation theorem, for maps from $S^n\rightarrow S^{n+1}$ which are not necessarily injective.
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- The London Mathematical Society 2006
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