Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps
Metric Geometry
2020-01-23 v1
Abstract
In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda.
Keywords
Cite
@article{arxiv.2001.07911,
title = {Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps},
author = {Elia Bruè and Enrico Pasqualetto and Daniele Semola},
journal= {arXiv preprint arXiv:2001.07911},
year = {2020}
}