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C.F.G
C.F.G
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Let M$M$ be a smooth orientable compact connected (with boundary) manifold of dimension 4$4$. In addition M$M$ is assumed to be aspherical and acyclic.

question: is there a "classification" of such manifolds? Or can they be classified in any effective way?

Question: is there a "classification" of such manifolds? Or can they be classified in any effective way?

Let M be a smooth orientable compact connected (with boundary) manifold of dimension 4. In addition M is assumed to be aspherical and acyclic.

question: is there a "classification" of such manifolds? Or can they be classified in any effective way?

Let $M$ be a smooth orientable compact connected (with boundary) manifold of dimension $4$. In addition $M$ is assumed to be aspherical and acyclic.

Question: is there a "classification" of such manifolds? Or can they be classified in any effective way?

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GSM
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Very particular kind of 4-manifolds. Classification

Let M be a smooth orientable compact connected (with boundary) manifold of dimension 4. In addition M is assumed to be aspherical and acyclic.

question: is there a "classification" of such manifolds? Or can they be classified in any effective way?