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Which 3-Manifolds Embed in Triod × I × I?
Published online by Cambridge University Press: 20 November 2018
Abstract
We classify the compact 3-manifolds whose boundary is a union of 2-spheres, and which embed in T ×I ×I, where T is a triod and I the unit interval. This class is described explicitly as the set of punctured handlebodies. We also show that any 3-manifold in T × I × I embeds in a punctured handlebody.
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- Copyright © Canadian Mathematical Society 1997