Rectifiability of RCD(K,N) spaces via δ-splitting maps
Bruè, E., Pasqualetto, E., & Semola, D. (2021). Rectifiability of RCD(K,N) spaces via δ-splitting maps. Annales Fennici Mathematici, 46(1), 465-482. https://doi.org/10.5186/aasfm.2021.4627
Published inAnnales Fennici Mathematici
© 2021 The Finnish Mathematical Society
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 -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.
PublisherFinnish Mathematical Society
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