. . "Show there is a path, $\\gamma$ from $a$ to $b$ and an analytic continuation $\\{(g_t,B_t)\\}_{t \\in [0,1]}\\}$ along $\\gamma$, s.t the curve is contained in the union of all the disks, and $[f_0]_a=[g_0]_a$, $[f_n]_b=[g_1]_b$." . .