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>