Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the structure of asymptotic l_p spaces   We prove that if X is a separable, reflexive space which is asymptotic l_p,
then X embeds into a reflexive space Z having an asymptotic l_p
finite-dimensional decomposition. This result leads to an intrinsic
characterization of subspaces of spaces with an asymptotic l_p FDD. More
general results of this type are also obtained.

14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat