Reducible and toroidal 3-manifolds obtained by Dehn fillings

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28 Citations (Scopus)

Abstract

Let M be a compact, connected, orientable, irreducible 3-manifold whose boundary is a torus. We announce that if two Dehn fillings create reducible manifold and toroidal manifold, then the maximal distance is three.

Original languageEnglish
Pages (from-to)93-104
Number of pages12
JournalTopology and its Applications
Volume75
Issue number1
DOIs
Publication statusPublished - 1997
Externally publishedYes

Keywords

  • 3-manifold
  • Dehn filling
  • Incompressible
  • Reducible

ASJC Scopus subject areas

  • Geometry and Topology

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