  Recently, Cohen and Vandembroucq proved that the reduced topological
complexity of the Klein bottle is 4. Simultaneously and independently, we
announced a proof of the same result. Mistakes were found in our argument,
which was quite different than theirs. After correcting these, we found that
our description of the obstruction class agreed with theirs. Our approach to
showing that this obstruction is nonzero failed to do so, while theirs did not
fail. Here we discuss our approach, which deals more directly with the
simplicial structure of the Klein bottle.
