A natural compactification of the Gromov-Hausdorff space

DOI10.1007/s10711-023-00852-5arXiv2109.14853OpenAlexW3202108080MaRDI QIDQ6091838

Hiroki Nakajima, Takashi Shioya

Publication date: 27 November 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14853

zbMATH Keywords

compactificationGromov-Hausdorff distanceultralimit

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

• Metric measure geometry. Gromov's theory of convergence and concentration of metrics and measures
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds
• Metric measure limits of spheres and complex projective spaces
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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