Commun. Korean Math. Soc. 1997 Vol. 12, No. 4, 1023-1032
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).