Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of small metric cotype   Naor and Mendel's metric cotype extends the notion of the Rademacher cotype
of a Banach space to all metric spaces. Every Banach space has metric cotype at
least 2. We show that any metric space that is bi-Lipschitz equivalent to an
ultrametric space has infinimal metric cotype 1. We discuss the invariance of
metric cotype inequalities under snowflaking mappings and Gromov-Hausdorff
limits, and use these facts to establish a partial converse of the main result.

10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex