Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential restriction categories   We combine two recent ideas: cartesian differential categories, and
restriction categories. The result is a new structure which axiomatizes the
category of smooth maps defined on open subsets of $\R^n$ in a way that is
completely algebraic. We also give other models for the resulting structure,
discuss what it means for a partial map to be additive or linear, and show that
differential restriction structure can be lifted through various completion
operations.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin