(β)-distortion of some infinite graphs

DOI10.1112/jlms/jdv074zbMath1348.46025arXiv1504.04250OpenAlexW3100973620MaRDI QIDQ2801743

Florent Baudier, Sheng Zhang

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04250

zbMATH Keywords

Banach spaceinfinitely branching treeparasol graphs

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) 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 (9)

Power type asymptotically uniformly smooth and asymptotically uniformly flat norms ⋮ On the geometry of the countably branching diamond graphs ⋮ A submetric characterization of Rolewicz’s property $(\beta )$ ⋮ Umbel convexity and the geometry of trees ⋮ Coarse quotients of metric spaces and embeddings of uniform Roe algebras ⋮ \(\xi\)-asymptotically uniformly smooth, \(\xi\)-asymptotically uniformly convex, and (\(\beta\)) operators ⋮ Asymptotic properties of Banach spaces and coarse quotient maps ⋮ No dimension reduction for doubling subsets of \(\ell_q\) when \(q>2\) revisited ⋮ On the embeddability of the family of countably branching trees into quasi-reflexive Banach spaces

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