On inductive and inverse limits of systems of compact metric spaces and applications
DOI10.1016/j.topol.2023.108549arXiv2211.13821OpenAlexW4367841068WikidataQ121087913 ScholiaQ121087913MaRDI QIDQ6045504
Publication date: 31 May 2023
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.13821
inductive limitinverse limitcompact metric spaceGromov-Hausdorff convergenceGromov-Hausdorff spacecompact metric groupGromov's theorem
Metric geometry (51F99) Categorical methods in general topology (54B30) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Compact (locally compact) metric spaces (54E45) Compact groups (22C05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categories of topological spaces and continuous mappings (18F60)
Cites Work
- The Gromov-Hausdorff metric on the space of compact metric spaces is strictly intrinsic
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Local structure of Gromov-Hausdorff space around generic finite metric spaces
- Central points and measures and dense subsets of compact metric spaces
- Explicit geodesics in Gromov-Hausdorff space
- Steiner type ratios of Gromov-Hausdorff space
- Steiner problem in the Gromov-Hausdorff space: the case of finite metric spaces
- Path connectedness of spheres in Gromov-Hausdorff space
- A continuity criterion for Steiner-type ratios in the Gromov-Hausdorff space
- Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space
- Isometry Group of Gromov--Hausdorff Space
- 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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