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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APA Style

Bruè, E., Pasqualetto, E., & Semola, D. (2021). Rectifiability of RCD(K,N) spaces via δ-splitting maps. Annales Fennici Mathematici, 46(1), 465–482.

MLA Style

Bruè, E., et al. “Rectifiability of RCD(K,N) Spaces via δ-Splitting Maps.” Annales Fennici Mathematici, vol. 46, no. 1, Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters) , 2021, pp. 465–82.

Chicago Style

Bruè, E, E Pasqualetto, and D Semola. 2021. “Rectifiability of RCD(K,N) Spaces via δ-Splitting Maps.” Annales Fennici Mathematici 46 (1): 465–82.
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Files:: Brue_et_al_2021_Rectifiability_of_RCD.pdf

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Publisher copy:: 10.5186/aasfm.2021.4627

Authors

+ Bruè, E More by this author

Role:: Author

+ Pasqualetto, E More by this author

Role:: Author

+ Semola, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters)
Journal:: Annales Fennici Mathematici More from this journal
Volume:: 46
Issue:: 1
Pages:: 465–482
Publication date:: 2021-06-21
Acceptance date:: 2020-05-27
DOI:: 10.5186/aasfm.2021.4627
ISSN:: 1239-629X

Language:: English
Keywords:: FFR

tangent cone

RCD space

rectifiability
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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