Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the topology and the boundary of N-dimensional RCD(K,N) spaces   We establish topological regularity and stability of N-dimensional RCD(K,N)
spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the
literature. We also introduce the notion of a boundary of such spaces and study
its properties, including its behavior under Gromov-Hausdorff convergence.

32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th