Finite covers of 3-manifolds containing essential surfaces of euler characteristic = 0

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We give a short proof and a slight generalization of a theorem of John Luecke, that a compact connected orientable irreducible 3-manifold containing an essential torus is finitely covered by a torus bundle or manifolds with unbounded first Betti numbers.

Original languageEnglish
Pages (from-to)743-747
Number of pages5
JournalProceedings of the American Mathematical Society
Volume101
Issue number4
DOIs
Publication statusPublished - 1987 Jan 1
Externally publishedYes

Keywords

  • 3-manifold
  • Essential surface
  • Residual finiteness

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Finite covers of 3-manifolds containing essential surfaces of euler characteristic = 0'. Together they form a unique fingerprint.

  • Cite this