Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the integrability of subalgebroids   Let G be a Lie groupoid with Lie algebroid g. It is known that, unlike in the
case of Lie groups, not every subalgebroid of g can be integrated by a
subgroupoid of G. In this paper we study conditions on the invariant foliation
defined by a given subalgebroid under which such an integration is possible. We
also consider the problem of integrability by closed subgroupoids, and we give
conditions under which the closure of a subgroupoid is again a subgroupoid.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th