Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Haefliger-Thurston conjecture   The classifying space for the framed Haefliger structures of codimension $q$
and class $C^r$ is $(2q-1)$-connected, for $1\le r\le\infty$. The corollaries
deal with the existence of foliations, with the homology and the perfectness of
the diffeomorphism groups, with the existence of foliated products, and of
foliated bundles.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph