Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal factorization spaces and algebras   We introduce categories of weak factorization algebras and factorization
spaces, and prove that they are equivalent to the categories of ordinary
factorization algebras and spaces, respectively. This allows us to define the
pullback of a factorization algebra or space by an \'etale morphism of schemes,
and hence to define the notion of a universal factorization space or algebra.
This provides a generalization to higher dimensions and to non-linear settings
of the notion of a vertex algebra.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin