Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on homological systems   I give an elementary proof of the known fact that the category $\mathfrak{F}
\left( \Delta \right)$ of $\Delta -$filtered modules, associated to a given
finite homological system $\left( \Delta ; \Omega , \leq \right) ,$ is closed
under direct summands.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol