Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low distortion embeddings between $C(K)$ spaces   We show that, for each ordinal $\alpha<\omega_1$, the space
$C([0,\omega^\alpha])$ does not embed into $C(K)$ with distortion strictly less
than $2$ unless $K^{(\alpha)}\neq \emptyset$.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci