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

Fingerprint

Euler Characteristic
Torus
Cover
Betti numbers
Bundle
Theorem
Generalization

Keywords

  • 3-manifold
  • Essential surface
  • Residual finiteness

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Finite covers of 3-manifolds containing essential surfaces of euler characteristic = 0. / Kojima, Sadayoshi.

In: Proceedings of the American Mathematical Society, Vol. 101, No. 4, 01.01.1987, p. 743-747.

Research output: Contribution to journalArticle

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