Rectifiability of RCD(K,N) spaces via δ-splitting maps
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
Finnish Mathematical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202107054180Use this for linking
Review status
Peer reviewed
ISSN
2737-0690
DOI
https://doi.org/10.5186/aasfm.2021.4627
Language
English
Published in
Annales Fennici Mathematici
Citation
- 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
License
Copyright© 2021 The Finnish Mathematical Society