Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The action on cohomology by compositions of rational maps   We use intuitive results from algebraic topology and intersection theory to
clarify the pullback action on cohomology by compositions of rational maps. We
use these techniques to prove a simple sufficient criterion for functoriality
of a composition of two rational maps on all degrees of cohomology and we then
reprove the criteria of Diller-Favre, Bedford-Kim, and Dinh-Sibony. We conclude
with a cautionary example.

3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat