2 problems

Let $K$ and $K'$ be knots, with embeddings $k$ and $k'$, respectively. An embedding is width-minimizing when it realizes the knot's minimum width; similarly, trunk-minimizing and b…

Let $K$ be a knot in $S^3$, and let an embedding of $K$ have width and trunk measured by $w$ and $tr$, respectively. An embedding is width-minimizing when its width equals $w(K)$,…