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Ball covering property and number of ends of $${\mathsf {CD}}$$ spaces with non-negative curvature outside a compact set

Che, Mauricio; Núñez-Zimbrón, Jesús

Ball covering property and number of ends of $${\mathsf {CD}}$$ spaces with non-negative curvature outside a compact set Thumbnail


Authors

Jesús Núñez-Zimbrón



Abstract

In this paper, we adapt work of Z.-D. Liu to prove a ball covering property for non-branching CD spaces with non-negative curvature outside a compact set. As a consequence, we obtain uniform bounds on the number of ends of such spaces.

Citation

Che, M., & Núñez-Zimbrón, J. (2022). Ball covering property and number of ends of $${\mathsf {CD}}$$ spaces with non-negative curvature outside a compact set. Archiv der Mathematik, 119(2), 213-224. https://doi.org/10.1007/s00013-022-01753-x

Journal Article Type Article
Acceptance Date Apr 25, 2022
Online Publication Date Jun 8, 2022
Publication Date 2022-08
Deposit Date Jul 8, 2022
Publicly Available Date Jul 8, 2022
Journal Archiv der Mathematik
Print ISSN 0003-889X
Electronic ISSN 1420-8938
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 119
Issue 2
Pages 213-224
DOI https://doi.org/10.1007/s00013-022-01753-x

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.




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