# AKT-09/HW3

Problem 1 With $T$, $B^+$ and $R$ as below, write $B^+$ as a composition of $T$ and two $R$'s, using he basic TG operations $d_e$, $u_e$, and $\#$.
Problem 2 Show that the "topological boundary" operator $\partial_T$ and the "crossing change" operator $x_T$ of the class of November 5 are compositions of the basic TG operations $d_e$, $u_e$, and $\#$ (you are also allowed to use "nullary" operations, otherwise known as "constants").
Problem 3 Write the third Reidemeister move R3 as a relation on $Z(B_+)$.