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math.MG2022
On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds
Vitali Kapovitch, Xingyu Zhu
We show that if an Alexandrov space has an Alexandrov subspace of the same dimension disjoint from the boundary of , then the topological boundary of coinc…
math.MG2019
On the topology and the boundary of N-dimensional RCD(K,N) spaces
Vitali Kapovitch, Andrea Mondino
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 intro…