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Journal article

On the topology and the boundary of N-dimensional RCD(K,N) spaces

Abstract:: We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature. We also introduce the notion of a boundary of such spaces and study its properties, including its behavior under Gromov-Hausdorff convergence.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Kapovitch, V., & Mondino, A. (2021). On the topology and the boundary of N-dimensional RCD(K,N) spaces. Geometry and Topology, 25(1), 445–495.

MLA Style

Kapovitch, V., and A. Mondino. “On the Topology and the Boundary of N-Dimensional RCD(K,N) Spaces.” Geometry and Topology, vol. 25, no. 1, Mathematical Sciences Publishers, 2021, pp. 445–95.

Chicago Style

Kapovitch, V, and A Mondino. 2021. “On the Topology and the Boundary of N-Dimensional RCD(K,N) Spaces.” Geometry and Topology 25 (1): 445–95.
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Files:: RCDHNPublishedG_T.pdf

(Accepted manuscript, 509.4KB)

Publisher copy:: 10.2140/gt.2021.25.445

Authors

+ Kapovitch, V More by this author

Role:

Author

+ Mondino, A More by this author

Institution:

University of Oxford

Department:

MATHEMATICAL INSTITUTE

Oxford college:

St Hilda's College

Role:

Author

ORCID:

0000-0002-1932-7148

Bibliographic Details

Publisher:: Mathematical Sciences Publishers Publisher's website
Journal:: Geometry and Topology Journal website
Volume:: 25
Issue:: 1
Pages:: 445-495
Publication date:: 2021-03-02
Acceptance date:: 2020-03-31
DOI:: 10.2140/gt.2021.25.445
EISSN:: 1364-0380
ISSN:: 1465-3060

Item Description

Language:: English
Keywords:: Ricci curvature

optimal transport

metric measure spaces
Pubs id:: pubs:1061623
UUID:: uuid:3aa8c4d5-a1cb-4204-84d6-d689eed20492
Local pid:: pubs:1061623
Source identifiers:: 1061623
Deposit date:: 2019-10-11

Terms of use

Copyright holder:: Mathematical Sciences Publishers
Copyright date:: 2021
Rights statement:: © Copyright 2021 Mathematical Sciences Publishers. All rights reserved.
Notes:: This is the accepted manuscript version of the article. The final version is available from Mathematical Sciences Publishers at https://doi.org/10.2140/gt.2021.25.445

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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