Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexity of distances: Reductions of distances between metric and
  Banach spaces   We show that all the standard distances from metric geometry and functional
analysis, such as Gromov-Hausdorff distance, Banach-Mazur distance, Kadets
distance, Lipschitz distance, Net distance, and Hausdorff-Lipschitz distance
have all the same complexity and are reducible to each other in a precisely
defined way.
  This is done in terms of descriptive set theory and is a part of a larger
research program initiated by the authors in \emph{Complexity of distances:
Theory of generalized analytic equivalence relations}. The paper is however
targeted also to specialists in metric geometry and geometry of Banach spaces.

7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg