Rectifiability of RCD(K,N) spaces via δ-splitting maps

In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via δ-splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus...

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Bibliographic Details
Main Authors: Bruè, E, Pasqualetto, E, Semola, D
Format: Journal article
Language:English
Published: Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters) 2021