Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a metric generalization of the $tt$-degrees and effective dimension
  theory   In this article, we study an analogue of $tt$-reducibility for points in
computable metric spaces. We characterize the notion of the metric $tt$-degree
in the context of first-level Borel isomorphism. Then, we study this concept
from the perspectives of effective topological dimension theory and of
effective fractal dimension theory.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
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
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph