Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust transitivity and domination for endomorphisms displaying critical
  points   We show that robustly transitive endomorphisms of a closed manifolds must
have a non-trivial dominated splitting or be a local diffeomorphism. This
allows to get some topological obstructions for the existence of robustly
transitive endomorphisms. To obtain the result we must understand the structure
of the kernel of the differential and the recurrence to the critical set of the
endomorphism after perturbation.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs