Which $3$-manifolds embed in $\Triod \times I \times I$?
Printed: Sep 1997
We classify the compact $3$-manifolds whose boundary is a union of
$2$-spheres, and which embed in $T \times I \times I$, 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 $T \times I \times I$ embeds in a punctured handlebody.
57N10 - Topology of general $3$-manifolds [See also 57Mxx]
57N35 - Embeddings and immersions
57Q35 - Embeddings and immersions