Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the monad of proper factorisation systems in categories   It is known that factorisation systems in categories can be viewed as unitary
pseudo algebras for the "squaring" monad in Cat.
  We show in this note that an analogous fact holds for proper (i.e., epi-mono)
factorisation systems and a suitable quotient of the former monad, deriving
from a construct introduced by P. Freyd for stable homotopy.
  Structural similarities of the previous monad with the path endofunctor of
topological spaces are considered.

4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics