Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isometric embeddings of compact spaces into Banach spaces   We show the existence of a compact metric space $K$ such that whenever $K$
embeds isometrically into a Banach space $Y$, then any separable Banach space
is linearly isometric to a subspace of $Y$. We also address the following
related question: if a Banach space $Y$ contains an isometric copy of the unit
ball or of some special compact subset of a separable Banach space $X$, does it
necessarily contain a subspace isometric to $X$? We answer positively this
question when $X$ is a polyhedral finite-dimensional space, $c_0$ or $\ell_1$.

6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an