Journal article
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 δ-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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters) Publisher's website
- Journal:
- Annales Fennici Mathematici Journal website
- Volume:
- 46
- Issue:
- 1
- Pages:
- 465–482
- Publication date:
- 2021-06-21
- Acceptance date:
- 2020-05-27
- DOI:
- ISSN:
-
1239-629X
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1140292
- Local pid:
- pubs:1140292
- Deposit date:
- 2020-11-03
Terms of use
- Copyright holder:
- Finnish Mathematical Society
- Copyright date:
- 2021
- Rights statement:
- Copyright © 2021 The Finnish Mathematical Society. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
- Licence:
- CC Attribution (CC BY)
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