Post Closed as "too localized" by Igor Rivin, Dan Petersen, Ryan Budney, Yemon Choi, Andy Putman

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can Rn be diffeomorphic to a product manifold NxM, with N compact d-manifold d>1?

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Decomposition of Rn with compact factor

can Rn be diffeomorphic to a product manifold NxM, with N compact?