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1. CMB 1999 (vol 42 pp. 257)
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Homotopy of Knots and the Alexander Polynomial Any knot in a 3-dimensional homology sphere is homotopic to a knot
with trivial Alexander polynomial.
Categories:57N10, 57M05, 57M25, 57N65 |
2. CMB 1997 (vol 40 pp. 370)
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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 |