Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of diffeological spaces and foliations   Let (M,F) be a foliated manifold. We study the relationship between the basic
cohomology Hb(M,F) of the foliation and the De Rham cohomology H(DF) of the
space of leaves M/F as a quotient diffeological space. We prove that for an
arbitrary foliation there is a morphism from H(DF) to Hb(M,F). It is an
isomorphism when F is a Q-foliation.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex