In the picture, on the left-hand side is the bidisc, and we restrict f to the horizontal gray lines (where the second component is fixed to be wk) and take a limit to produce an analytic disc...In the picture, on the left-hand side is the bidisc, and we restrict f to the horizontal gray lines (where the second component is fixed to be wk) and take a limit to produce an analytic disc in the boundary of B2. The proof says that the reason why there is not even a proper mapping is the fact that the boundary of the polydisc contains analytic discs, while the sphere does not.