Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additive Grothendieck pretopologies and presentations of tensor
  categories   We define a notion on preadditive categories which plays a role similar to
the notion of a Grothendieck pretopology on an unenriched category. Each such
additive pretopology defines an additive Grothendieck topology and suffices to
define the sheaf category. This new notion allows us to study the noetherian
and subcanonical nature of topologies, to describe easily the meet of a family
of topologies and to identify useful universal properties of the sheaf
category. As our main application we derive in which ways one can present a
tensor category and show that such presentations lead to remarkable universal
properties.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
3
The categories of this paper are: physics