The coarse geometry of Tsirelson’s space and applications

DOI10.1090/jams/899zbMath1396.46020arXiv1705.06797OpenAlexW3104899461MaRDI QIDQ4641678

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Publication date: 18 May 2018

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06797

zbMATH Keywords

Johnson graphHamming graphBanach-Saks propertyTsirelson spacecoarse embeddingsspreading model

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Infinite graphs (05C63) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Asymptotic theory of Banach spaces (46B06)

Related Items (15)

Barycentric gluing and geometry of stable metrics ⋮ Coarse metric and uniform metric ⋮ Geometries of topological groups ⋮ Separation ratios of maps between Banach spaces ⋮ Umbel convexity and the geometry of trees ⋮ Banach spaces which are isometric to subspaces of \(c_0(\Gamma)\) ⋮ ON ASYMPTOTIC UNIFORM SMOOTHNESS AND NONLINEAR GEOMETRY OF BANACH SPACES ⋮ On fixed point property under Lipschitz and uniform embeddings ⋮ Non-asymptotic $\ell_1$ spaces with unique $\ell_1$ asymptotic model ⋮ On the complete separation of asymptotic structures in Banach spaces ⋮ On the Coarse Geometry of James Spaces ⋮ A NEW COARSELY RIGID CLASS OF BANACH SPACES ⋮ The geometry of Hamming-type metrics and their embeddings into Banach spaces ⋮ Nonpositive curvature is not coarsely universal ⋮ Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)

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