Path connectivity of spheres in the Gromov-Hausdorff class

DOI10.1016/j.topol.2022.108366OpenAlexW4311271606MaRDI QIDQ2691856

Yanyan Li

Publication date: 30 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06709

zbMATH Keywords

metric spacesGromov-Hausdorff distancemetric geometrycompact metric spacespath connectivitybounded metric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35)

Cites Work

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• Gromov-Hausdorff distance for pointed metric spaces
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Local structure of Gromov-Hausdorff space around generic finite metric spaces
• Friedmann cosmology and almost isotropy
• Local geometry of the Gromov-Hausdorff metric space and totally asymmetric finite metric spaces
• Isometry Group of Gromov--Hausdorff Space
• Geometry of the Gromov-Hausdorff distance on the class of all metric spaces

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