You can now put a box topology or a product topology on the space of functions from the natural numbers to the polynomials ( since the space of functions from the naturals to anything is really just a countable cartesian product ).
12.
In this switch box topology, a wire in track number one connects only to wires in track number one in adjacent channel segments, wires in track number 2 connect only to other wires in track number 2 and so on.