Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Systems of Diagram Categories and K-theory. II   The additivity theorem for derivateurs associated to complicial biWaldhausen
categories is proved. Also, to any exact category in the sense of Quillen a
K-theory space is associated. This K-theory is shown to satisfy the additivity,
approximation and resolution theorems.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th