On embedded spheres in 3-manifolds

  title={On embedded spheres in 3-manifolds},
  author={G. Ananda Swarup},
  journal={Mathematische Annalen},
  • G. Swarup
  • Published 1973
  • Mathematics
  • Mathematische Annalen
Four-manifolds, geometries and knots
The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and toExpand
Isotopies of 3-manifolds
Abstract An isotopy of a manifold M that starts and ends at the identity diffeomorphism determines an element of π 1 (Diff( M )). For compact orientable 3-manifolds with at least three nonsimplyExpand
On 4-manifolds with finitely dominated covering spaces
We show that if the universal covering space M of a closed 4manifold M is finitely dominated then either M is aspherical, or Mt is homotopy equivalent to S2 or S3, or r I (M) is finite. We also giveExpand
Hyperhopfian groups and approximate fibrations
© Foundation Compositio Mathematica, 1993, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditionsExpand
Degree one maps between geometric 3-manifolds
Let M and N be two compact orientable 3-manifolds, we say that M ≥ N, if there is a degree one map from M to N. This gives a way to measure the complexity of 3-manifolds. The main purpose of thisExpand