Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 1997; 12(4): 1023-1032

Printed December 1, 1997

Copyright © The Korean Mathematical Society.

On Irreducible 3-Manifolds

Jaeik Lee

Dongseo University

Abstract

This paper deals with certain conditions under which irreducibility of a 3-manifold is preserved under attaching a 2-handle along a simple closed curve (and then, if necessary, capping off a 2-sphere boundary component by a 3-ball).

Keywords: irreducible, pre-sphere, 2-handle, incompressible, coplanar

MSC numbers: 57M50

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