Sphere equivalence, Property H, and Banach expanders

DOI10.4064/sm8396-4-2016zbMath1355.46022OpenAlexW2345472561MaRDI QIDQ2809355

Qing Jin Cheng

Publication date: 27 May 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8396-4-2016

zbMATH Keywords

Banach spacecoarse embeddingBanach expandersphere equivalence

Mathematics Subject Classification ID

Geometric group theory (20F65) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (10)

On quantitative sphere equivalence and extrapolation phenomenon ⋮ Uniform homeomorphisms of unit spheres and property~H of Lebesgue-Bochner function spaces ⋮ On Banach spaces with Kasparov and Yu's property (H) ⋮ A Bott periodicity theorem for \(\ell^p\)-spaces and the coarse Novikov conjecture at infinity ⋮ Super-expanders and warped cones ⋮ Banach space actions and \(L^2\)-spectral gap ⋮ An average John theorem ⋮ On the structure of asymptotic expanders ⋮ Nonpositive curvature is not coarsely universal ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings

Cites Work

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• The Novikov conjecture and geometry of Banach spaces
• The coarse geometric Novikov conjecture and uniform convexity
• A reinforcement of property (T)
• The distortion problem
• Uniform embeddability and exactness of free products.
• Banach spaces determined by their uniform structures
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Nonlinear spectral calculus and super-expanders
• The coarse Novikov conjecture and Banach spaces with property (H)
• On the Lipschitz classification of normed spaces, unit balls, and spheres
• Complex interpolation between Hilbert, Banach and operator spaces
• UNIFORM EMBEDDINGS OF FREE PRODUCTS INTO UNIFORMLY CONVEX BANACH SPACES
• Expander graphs and their applications
• Uniform embeddings of bounded geometry spaces into reflexive Banach space
• Constructions preserving Hilbert space uniform embeddability of discrete groups
• A NOTE ON NON-AMENABILITY OF ℬ(ℓ_p) FOR p=1,2
• Embeddings of locally finite metric spaces into Banach spaces
• Sphere Equivalence, Banach Expanders, and Extrapolation

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