Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-separability of the Lipschitz distance   Let $X$ be a compact metric space and $\mathcal M_X$ be the set of isometry
classes of compact metric spaces $Y$ such that the Lipschitz distance
$d_L(X,Y)$ is finite. We show that $(\mathcal M_X, d_L)$ is not separable when
$X$ is a closed interval, or an infinite union of shrinking closed intervals.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin