Gromov-Hausdorff distance for pointed metric spaces

DOI10.1007/s41478-016-0001-xzbMath1364.53045OpenAlexW2513181938MaRDI QIDQ524737

David A. Herron

Publication date: 3 May 2017

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-016-0001-x

zbMATH Keywords

Gromov-Hausdorff distancepointed convergencepointed Gromov-Hausdorff distance

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Analysis on metric spaces (30L99)

Related Items (9)

Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence ⋮ Continua in the Gromov-Hausdorff space ⋮ Pointed Gromov-Hausdorff topological stability for non-compact metric spaces ⋮ Chordal Hausdorff convergence and quasihyperbolic distance ⋮ Denseness of metric spaces in general position in the Gromov-Hausdorff class ⋮ Metric trees in the Gromov--Hausdorff space ⋮ Path connectivity of spheres in the Gromov-Hausdorff class ⋮ Asymptotic behavior of $BV$ functions and sets of finite perimeter in metric measure spaces ⋮ Packing and doubling in metric spaces with curvature bounded above

Cites Work

• Local cut points and metric measure spaces with Ricci curvature bounded below
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On Hausdorff-Gromov convergence and a theorem of Paulin
• Uniform metric spaces, annular quasiconvexity and pointed tangent spaces
• A Novel Way to Generate Fractals
• Every complete doubling metric space carries a doubling measure
• Sobolev Spaces on Metric Measure Spaces
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