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Incompressibility of surfaces in surgered 3-manifolds

✍ Scribed by Ying-Qing Wu

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
643 KB
Volume
31
Category
Article
ISSN
0040-9383

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Suppose K(r) is reducible, by Theorem 3 of Gordon and Luecke, K(r) has a lens space as a connected summand. We will show that if the order of the fundamental group of the lens space is r then K(r) is the connected sum of L(r, .) and an irreducible homology 3-sphere. 0 1998 Elsevier Science B.V.