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arXiv · 2001.07911

Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps

Elia Bruè·Enrico Pasqualetto·Daniele Semola
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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 $\delta$-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.

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Elia Bruè, Enrico Pasqualetto, Daniele Semola. 2020-01-22. Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps. https://arxiv.org/abs/2001.07911

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