A spherical decomposition for Riemannian open 3-manifolds

Details A spherical decomposition for Riemannian open 3-manifolds A spherical decomposition for Riemannian open 3-manifolds

2006-05-12

arxiv.org/abs/math/0605335v1

Mathematics

Geometric Topology

accepted by GAFA

Scientific paper

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.

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