Unknotted Solid Tori and Genus One Whitehead Manifolds
Unknotted Solid Tori and Genus One Whitehead Manifolds
In this paper we study contractible open 3-manifolds which are monotone unions of solid tori and which embed in a compact 3-manifold.We show that the tori are unknotted in later tori.We then study pairs of unknotted solid tori, and prove a unique prime decomposition theorem.This is applied to the open …