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

Che, Mauricio; Núñez-Zimbrón, Jesús

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
• Public URL: https://durham-repository.worktribe.com/output/1198650