Discretization and affine approximation in high dimensions
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Publication:375763
DOI10.1007/s11856-012-0182-1zbMath1291.46021arXiv1202.2567OpenAlexW2159433066MaRDI QIDQ375763
Publication date: 31 October 2013
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.2567
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 (7)
Bourgain discretization using Lebesgue-Bochner spaces ⋮ Impossibility of almost extension ⋮ A quantitative metric differentiation theorem ⋮ Coarse differentiation and quantitative nonembeddability for Carnot groups ⋮ Heat flow and quantitative differentiation ⋮ Quantitative affine approximation for UMD targets ⋮ Nonpositive curvature is not coarsely universal
Cites Work
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- Uniformly non-square Banach spaces
- Banach spaces which can be given an equivalent uniformly convex norm
- Quantitative affine approximation for UMD targets
- On the moduli of convexity and smoothness
- Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
- Super-Reflexive Banach Spaces
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