Stability and equivariant Gromov–Hausdorff convergence

Alattar, Mohammad

Abstract

We give applications of equivariant Gromov–Hausdorff convergence in various contexts. Namely, using equivariant Gromov–Hausdorff convergence, we prove a stability result in the setting of compact finite‐dimensional Alexandrov spaces. Moreover, we introduce the notion of an almost commutative diagram and show that its use simplifies both exposition and argument.

Citation

Alattar, M. (2024). Stability and equivariant Gromov–Hausdorff convergence. Bulletin of the London Mathematical Society, 56(8), 2585-2596. https://doi.org/10.1112/blms.13073

• Journal Article Type: Article
• Acceptance Date: Apr 16, 2024
• Online Publication Date: May 18, 2024
• Publication Date: May 18, 2024
• Deposit Date: May 28, 2024
• Publicly Available Date: May 28, 2024
• Journal: Bulletin of the London Mathematical Society
• Print ISSN: 0024-6093
• Electronic ISSN: 1469-2120
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 56
• Issue: 8
• Pages: 2585-2596
• DOI: https://doi.org/10.1112/blms.13073
• Public URL: https://durham-repository.worktribe.com/output/2465874