Which 3-Manifolds Embed in Triod × I × I?
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 370-375
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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.
Rolfsen, Dale; Zhongmou, Li. Which 3-Manifolds Embed in Triod × I × I?. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 370-375. doi: 10.4153/CMB-1997-044-3
@article{10_4153_CMB_1997_044_3,
author = {Rolfsen, Dale and Zhongmou, Li},
title = {Which {3-Manifolds} {Embed} in {Triod} {\texttimes} {I} {\texttimes} {I?}},
journal = {Canadian mathematical bulletin},
pages = {370--375},
year = {1997},
volume = {40},
number = {3},
doi = {10.4153/CMB-1997-044-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-044-3/}
}
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