Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal differentiability set in Banach spaces with separable dual   We show that any non-zero Banach space with a separable dual contains a
totally disconnected, closed and bounded subset S of Hausdorff dimension 1 such
that every Lipschitz function on the space is Fr\'echet differentiable
somewhere in S.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex