### K-theory of triangulated categories II the subtlety of the theory and potential pitfalls, by Amnon Neeman

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
January, 1998.

Amnon Neeman <amnon.neeman@anu.edu.au>