The geometry of Hamming-type metrics and their embeddings into Banach spaces

DOI10.1007/s11856-021-2187-0zbMath1493.46035arXiv2004.04805OpenAlexW3196048030MaRDI QIDQ2055288

Gilles Lancien, Thomas Schlumprecht, Florent Baudier, Pavlos Motakis

Publication date: 1 December 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04805

zbMATH Keywords

coarse embeddingsHamming graphsasymptotic structureTsirelson spaces

Mathematics Subject Classification ID

Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Asymptotic theory of Banach spaces (46B06)

Cites Work

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• The non-linear geometry of Banach spaces after Nigel Kalton
• The metrical interpretation of superreflexivity in Banach spaces
• An arbitrarily distortable Banach space
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Banach spaces with small spaces of operators
• Tsirelson-like spaces and complexity of classes of Banach spaces
• On asymptotic models in Banach spaces
• Finite order spreading models
• An introduction to the Ribe program
• Uniformly non-square Banach spaces
• On the geometry of the countably branching diamond graphs
• Metrical characterization of super-reflexivity and linear type of Banach spaces
• The coarse Lipschitz geometry of \(\ell_p\oplus\ell_q\)
• On the nonexistence of uniform homeomorphisms between \(L^ p\)-spaces
• Bases and reflexivity of Banach spaces
• A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces
• Trees and branches in Banach spaces
• ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
• Joint spreading models and uniform approximation of bounded operators
• METRIC DIMENSION REDUCTION: A SNAPSHOT OF THE RIBE PROGRAM
• A NEW COARSELY RIGID CLASS OF BANACH SPACES
• Some strongly bounded classes of Banach spaces
• A new metric invariant for Banach spaces
• OnB-convex Banach spaces
• A reflexive Banach space which is not sufficiently Euclidean
• On spreading sequences and asymptotic structures
• The coarse geometry of Tsirelson’s space and applications
• ON THE STRUCTURE OF ASYMPTOTIC lp SPACES
• The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces

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