Dehn filling, reducible 3-manifolds, and klein bottles

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6 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 manifold containing Klein bottle, then the maximal distance is three.

Original languageEnglish
Pages (from-to)289-296
Number of pages8
JournalProceedings of the American Mathematical Society
Volume126
Issue number1
Publication statusPublished - 1998
Externally publishedYes

Keywords

  • 3-manifold
  • Dehn filling
  • Klein bottle
  • Reducible

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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