Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A much larger class of Frolicher spaces than that of convenient vector
  spaces may embed into the Cahier topos   It is well known that the category of Frolicher spaces and smooth mappings is
Cartesian closed. The principal objective in this paper is to show that the
full subcategory of Frolicher spaces that believe in fantasy that every Weil
functor is really an exponentiation by the corresponding infinitesimal object
is also Cartesian closed. Under the assumption that a conjecture holds, it is
shown that these Frolicher spaces embed into the Cahier topos with the
Cartesian closed structure being preserved.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph