Seifert fibered spaces in 3-manifolds

@inproceedings{Jaco1979SeifertFS,
  title={Seifert fibered spaces in 3-manifolds},
  author={William H. Jaco and P. B. Shalen},
  year={1979}
}
Publisher Summary This chapter describes Seifert Fibered Spaces in 3-Manifolds. There exist finitely many disjoint, non-contractible, pairwise non-parallel, embedded 2-spheres in M, whose homotopy classes generate π2 (M) as a π2 (M)-module; and modulo the Poincare conjecture, these 2-spheres are unique up to ambient homeomorphism. Thus, all singular 2-spheres in M, that is, maps of S2 into M, may be described, up to homotopy, in terms of a geometric picture in M. The strong version of the… 

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