English

On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedra

Geometric Topology 2007-05-23 v2

Abstract

We prove that an open 3-manifold proper homotopy equivalent to a geometrically simply connected polyhedron is simply connected at infinity, generalizing a theorem of V.Poenaru.

Keywords

Cite

@article{arxiv.math/9810098,
  title  = {On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedra},
  author = {Louis Funar and Tom L. Thickstun},
  journal= {arXiv preprint arXiv:math/9810098},
  year   = {2007}
}

Comments

revised version, 11 pages, Topology Appl. (to appear)