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Search: MSC category 57Q35 ( Embeddings and immersions )

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1. CMB 1997 (vol 40 pp. 370)

Rolfsen, Dale; Zhongmou, Li
Which $3$-manifolds embed in $\Triod \times I \times I$?
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.

Categories:57N10, 57N35, 57Q35

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