Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic computable structure theory and $L^p$ spaces   We continue the investigation of analytic spaces from the perspective of
computable structure theory. We show that if $p \geq 1$ is a computable real,
and if $\Omega$ is a nonzero, non-atomic, and separable measure space, then
every computable presentation of $L^p(\Omega)$ is computably linearly isometric
to the standard computable presentation of $L^p[0,1]$; in particular,
$L^p[0,1]$ is computably categorical. We also show that there is a measure
space $\Omega$ that does not have a computable presentation even though
$L^p(\Omega)$ does for every computable real $p \geq 1$.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org