Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular mappings and non-existence of bi-Lipschitz embeddings for slit
  carpets   We prove that the "slit carpet" introduced by Merenkov does not admit a
bi-Lipschitz embedding into any uniformly convex Banach space. In particular,
this includes any Euclidean space $\mathbb{R}^n$, but also spaces such as $L^p$
for $p \in (1,\infty)$. This resolves Question 8 in the 1997 list by Heinonen
and Semmes.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph