Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Embeddings of Finite Subsets of $\ell_p$   We study finite subsets of $\ell_p$ and show that, up to nowhere dense and
Haar null complement, all of them embed isometrically into any Banach space
that uniformly contains the spaces $\ell_p^n$, $n \in \mathbb{N}$.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs