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On the Fundamental Group and Homotopy Type of Open 3-Manifolds by D.E. Galewski; J.G. Hollingsworth; D.R. McMillan Jr. is a Mathematics article available to read on EtoBox.

What is On the Fundamental Group and Homotopy Type of Open 3-Manifolds about?

Abstmctz It is shown that a fintely-generated subgroup of the fundamentd group of a 3~ manifold is the Mdamental goup of a compact 3-manifold if the subgroup can be suitably ap proximated by a finitely-presented group. This result is then applied to study certain subgroups of 39manifold fWdamen&al groups: those subgroups which are fmitely-genefated and ltitve finite abelianizations. In many cases, these subgroups aze shown to be isomorphic to fundamental groups of closed 3-manifolds. Corollaries concerning the embedding of spheres and ce% in 3space are given. A necessary ;and sufficient condition is given in order that an open %pauifold with no 2-sided projective pknes should be homotopy-equivalent to a compact 3-manifold.

Who reads On the Fundamental Group and Homotopy Type of Open 3-Manifolds?

Author

D.E. Galewski; J.G. Hollingsworth; D.R. McMillan Jr.

Publisher

Elsevier Science; Elsevier ; North-Holland Publ Co; Elsevier BV (ISSN 0016-660X)

Published

1972

Language

EN

Field

Mathematics (Physical Sciences)