Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric strong diameter two property   We study Banach spaces with the property that, given a finite number of
slices of the unit ball, there exists a direction such that all these slices
contain a line segment of length almost 2 in this direction. This property was
recently named the symmetric strong diameter two property by Abrahamsen,
Nygaard, and P\~oldvere. The symmetric strong diameter two property is not just
formally stronger than the strong diameter two property (finite convex
combinations of slices have diameter 2). We show that the symmetric strong
diameter two property is only preserved by $\ell_\infty$-sums, and working with
weak star slices we show that $\text{Lip}_0(M)$ have the weak star version of
the property for several classes of metric spaces $M$.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess