Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Who Asked Us? How the Theory of Computing Answers Questions about
  Analysis   Algorithmic fractal dimensions -- constructs of computability theory -- have
recently been used to answer open questions in classical geometric measure
theory, questions of mathematical analysis whose statements do not involve
computability theory or logic. We survey these developments and the prospects
for future such results.

10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con