On embedded spheres in 3-manifolds
โ Scribed by G. Ananda Swarup
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 870 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let M be a noncompact 4-manifold with at least two open ends. Suppose that one of these ends is homeomorphic to N x iI& where N is an oriented 3-manifold satisfying one of the following conditions: (i) ~1 (N) is an extension of the free group by a perfect normal subgroup. (ii) HI (N) g Z/n, @. @ Z
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.