Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oseledets splitting and invariant manifolds on fields of Banach spaces   We prove a semi-invertible Oseledets theorem for cocycles acting on
measurable fields of Banach spaces, i.e. we only assume invertibility of the
base, not of the operator. As an application, we prove an invariant manifold
theorem for nonlinear cocycles acting on measurable fields of Banach spaces.

15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph