# On the topology and the boundary of $N$-dimensional $RCD(K,N)$ spaces

created by mondino on 08 Jul 2019

[BibTeX]

Preprint

Inserted: 8 jul 2019
Last Updated: 8 jul 2019

Year: 2019

Abstract:

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.