Coarse and Lipschitz universality

DOI10.4064/fm956-9-2020zbMath1484.46025arXiv2004.04806OpenAlexW3111708987MaRDI QIDQ5162574

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Publication date: 3 November 2021

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04806

zbMATH Keywords

universal spacesTsirelson spacesasymptotic-\(c_0\) Banach spacesKalton's interlacing graphsnon-linear embeddingsSchreier metrics

Mathematics Subject Classification ID

Infinite graphs (05C63) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Asymptotic theory of Banach spaces (46B06) Lipschitz and coarse geometry of metric spaces (51F30)

Related Items (1)

Barycentric gluing and geometry of stable metrics

Cites Work

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• The diameter of the isomorphism class of a Banach space
• Genericity and amalgamation of classes of Banach spaces
• Separable elastic Banach spaces are universal
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
• A double-dual characterization of separable Banach spaces containing \(\ell^1\)
• Spaces of Lipschitz and Hölder functions and their applications
• Nonpositive curvature is not coarsely universal
• Metrical characterization of super-reflexivity and linear type of Banach spaces
• The Szlenk index and local \(\ell_1\)-indices
• Bases and reflexivity of Banach spaces
• A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
• On bases and unconditional convergence of series in Banach spaces
• Projections in certain Banach spaces
• On classes of Banach spaces admitting ‘‘small” universal spaces
• On Separable Banach Spaces, Universal for all Separable Reflexive Spaces
• Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
• On the Coarse Geometry of James Spaces
• Banach spaces of bounded Szlenk index
• COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES
• Best constants for Lipschitz embeddings of metric spaces into c₀
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces

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