Stability and equivariant Gromov--Hausdorff convergence
Metric Geometry
2024-05-21 v3 Differential Geometry
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 \emph{almost commutative diagram} and show that its use simplifies both exposition and argument.
Keywords
Cite
@article{arxiv.2311.12266,
title = {Stability and equivariant Gromov--Hausdorff convergence},
author = {Mohammad Alattar},
journal= {arXiv preprint arXiv:2311.12266},
year = {2024}
}
Comments
Minor revisions. Accepted for publication at the Bulletin of the London Mathematical Society