Published Paper

Inserted: 5 jul 2019
Last Updated: 23 jun 2023

Journal: Anal. Geom. Metr. Spaces
Volume: 7
Number: 1
Pages: 158--178
Year: 2019
Doi: https://doi.org/10.1515/agms-2019-0008

Abstract:

The aim of this note is to generalize to the class of non collapsed RCD(K,N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber for non collapsed Ricci limits in \cite{CheegerNaber13a}. The proof, which is based on a quantitative differentiation argument, closely follows the original one. As a simple outcome we provide a volume estimate for the enlargement of Gigli-DePhilippis' boundary (\citeRemark 3.8{DePhilippisGigli18}) of ncRCD(K,N) spaces.

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