Ultrametric skeletons

DOI10.1073/pnas.1202500109zbMath1307.46013arXiv1112.3416OpenAlexW2576733628WikidataQ94021405 ScholiaQ94021405MaRDI QIDQ5170988

Assaf Naor, Manor Mendel

Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3416

zbMATH Keywords

metric geometrymajorizing measuresbi-Lipschitz embeddingsnonlinear Dvoretzky theorems

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (8)

Dvoretzky-type theorem for Ahlfors regular spaces ⋮ A simple proof of Dvoretzky-type theorem for Hausdorff dimension in doubling spaces ⋮ Ultrametric subsets with large Hausdorff dimension ⋮ A GEOMETRIC STUDY OF WASSERSTEIN SPACES: ULTRAMETRICS ⋮ Union of Euclidean Metric Spaces is Euclidean ⋮ On \(L_1\)-embeddability of unions of \(L_1\)-embeddable metric spaces and of twisted unions of hypercubes ⋮ The legacy of Jean Bourgain in geometric functional analysis ⋮ On Lipschitz extension from finite subsets

Cites Work

• Regularity of Gaussian processes
• On Hilbertian subsets of finite metric spaces
• On Lipschitz embedding of finite metric spaces in Hilbert space
• On the existence of pathological submeasures and the construction of exotic topological groups
• Euclidean quotients of finite metric spaces
• Trees and ultrametric spaces: A categorical equivalence
• On metric Ramsey-type phenomena

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