This is the third instalment of a five-paper series. In this paper
the main objective is to address the question: Why is the proof so
complicated? Of course, the honest answer is that the author does
not completely understand this. But in this article we show that
a small modification of the simplicial sets involved, which leaves
almost all the proofs intact, wreaks havoc with the K-theory.
There is something subtle about a proof which is capable of
distinguishing the stupid simplicial set from the good one.
This article appeared in the Asian Journal of Mathematics in
This article appeared in the Asian Journal of Mathematics in January, 1998.