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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2005; 45(4): 549-559

Published online December 23, 2005

Copyright © Kyungpook Mathematical Journal.

An-annular Complexes in 3-manifolds

Yo'av Rieck

Department of Mathematical Sciences, University of Arkansas, AR 72701, U.S.A.

Abstract

Given a non-Haken, non Seifert fibred manifold we describe an algorithm that takes 2 (not necessarily distinct) Heegaard surfaces and produces a complex with certain useful properties (Properties 5.1). Our main tool is Rubinstein and Scharlemann's Cerf theoretic work (cite{rs}).

Keywords: 3-manifolds, Heegaard splittings