Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation of the Szlenk index of Banach Spaces via Schreier spaces   For each ordinal $\alpha<\omega_1$, we prove the existence of a space with a
basis and Szlenk index $\omega^{\alpha+1}$ which is universal for the class of
spaces with Szlenk index not exceeding $\omega^\alpha$. Our proof involves
developing a characterization of which Banach spaces embed into spaces with an
FDD with upper Schreier space estimates.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom