English

A spherical decomposition for Riemannian open 3-manifolds

Geometric Topology 2007-05-23 v1

Abstract

We show that open 3-manifolds that have a locally finite decomposition along 2-spheres are characterized by the existence of a Riemannian metric with respect to which the second homotopy group of the manifold is generated by small elements.

Keywords

Cite

@article{arxiv.math/0605335,
  title  = {A spherical decomposition for Riemannian open 3-manifolds},
  author = {Sylvain Maillot},
  journal= {arXiv preprint arXiv:math/0605335},
  year   = {2007}
}

Comments

accepted by GAFA

R2 v1 2026-07-22T17:35:45.991Z