Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Szlenk power type and tensor products of Banach spaces   We prove a formula for the Szlenk power type of the injective tensor product
of Banach spaces with Szlenk index at most $\omega$. We also show that the
Szlenk power type as well as summability of the Szlenk index are separably
determined, and we extend some of our recent results concerning direct sums.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci