Stability and equivariant Gromov–Hausdorff convergence
Copyright policy )Stability and equivariant Gromov–Hausdorff convergence
AbstractWe 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.
- Durham University United Kingdom
Mathematics - Differential Geometry, Mathematics - Metric Geometry, Differential Geometry (math.DG), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, FOS: Mathematics, Synthetic differential geometry, equivariant Gromov-Hausdorff convergence, Metric Geometry (math.MG), 53C23, 53C20, 51K10, Alexandrov spaces, stability theorem, Global Riemannian geometry, including pinching, Gromov-Hausdorff convergence
Mathematics - Differential Geometry, Mathematics - Metric Geometry, Differential Geometry (math.DG), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, FOS: Mathematics, Synthetic differential geometry, equivariant Gromov-Hausdorff convergence, Metric Geometry (math.MG), 53C23, 53C20, 51K10, Alexandrov spaces, stability theorem, Global Riemannian geometry, including pinching, Gromov-Hausdorff convergence
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