English

Open aspherical manifolds not covered by the Euclidean space

Geometric Topology 2014-08-06 v3

Abstract

We show that any open aspherical manifold of dimension n>3 is tangentially homotopy equivalent to an n-manifold whose universal cover is not homeomorphic to the Euclidean space.

Keywords

Cite

@article{arxiv.1208.5666,
  title  = {Open aspherical manifolds not covered by the Euclidean space},
  author = {Igor Belegradek},
  journal= {arXiv preprint arXiv:1208.5666},
  year   = {2014}
}

Comments

3 pages, minor revision