2 problems

Let $l_1$ and $l_2$ be two $\rv{2,4}$ tangles, and let $L_1$ and $L_2$ be two arbitrarily chosen $\rv{2,4}$ tangle $n$-mosaic representatives of $l_1$ and $l_2$, respectively, with…

Define the extended Reidemeister moves to be the standard Reidemeister move set together with a fourth move, in which $A$ is a compact set whose interior remains fixed relative to…