Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct limits of infinite-dimensional Carnot groups   We give a construction of direct limits in the category of complete metric
scalable groups and provide sufficient conditions for the limit to be an
infinite-dimensional Carnot group. We also prove a Rademacher-type theorem for
such limits.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas