Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutative categories, multicategories, and algebraic K-theory   We show that the $K$-theory construction of arXiv:math/0403403, which
preserves multiplicative structure, extends to a symmetric monoidal closed
bicomplete source category, with the multiplicative structure still preserved.
The source category of arXiv:math/0403403, whose objects are permutative
categories, maps fully and faithfully to the new source category, whose objects
are (based) multicategories.

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas