Uniqueness of contractible coboundary (Ex)

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Let $\Sigma$ be a homology 3-spheres. If $\Sigma$ is the boundary of compact, contractible 4-manifolds $\Omega_1$ and $\Omega_2$ show there is a homeomorphism $\Omega_1 \to \Omega_2$ which is the identity on the boundary.
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[[Category:Exercises]]
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[[Category:Exercises without solution]]

Revision as of 06:25, 10 January 2019

Let \Sigma be a homology 3-spheres. If \Sigma is the boundary of compact, contractible 4-manifolds \Omega_1 and \Omega_2 show there is a homeomorphism \Omega_1 \to \Omega_2 which is the identity on the boundary.

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