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 con...

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Bibliographic Details
Main Authors: Kapovitch, V, Mondino, A
Format: Journal article
Language:English
Published: Mathematical Sciences Publishers 2021