Open aspherical manifolds not covered by the Euclidean space

Belegradek, Igor

doi:10.1090/proc/12308

Open aspherical manifolds not covered by the Euclidean space
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by Igor Belegradek PDF

Proc. Amer. Math. Soc. 143 (2015), 3641-3643 Request permission

Abstract:

We show that any open aspherical manifold of dimension $n\ge 4$ is tangentially homotopy equivalent to an $n$-manifold whose universal cover is not homeomorphic to $\mathbb R^n$.

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