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 $\mathbb R^n$.References
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Additional Information
- Igor Belegradek
- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160
- MR Author ID: 340900
- Email: ib@math.gatech.edu
- Received by editor(s): October 20, 2012
- Received by editor(s) in revised form: July 15, 2013
- Published electronically: April 6, 2015
- Additional Notes: The author is grateful for NSF support (DMS-1105045)
- Communicated by: Kevin Whyte
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 3641-3643
- MSC (2010): Primary 57N15
- DOI: https://doi.org/10.1090/proc/12308
- MathSciNet review: 3348805