The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map
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Publication:2790729
DOI10.1090/tran/6553zbMath1343.46018arXiv1408.6424OpenAlexW2963793458MaRDI QIDQ2790729
N. Lovasoa Randrianarivony, Denka Kutzarova, Stephen Dilworth
Publication date: 8 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6424
Geometry and structure of normed linear spaces (46B20) Metric geometry (51F99) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)
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A CODING OF BUNDLE GRAPHS AND THEIR EMBEDDINGS INTO BANACH SPACES, A submetric characterization of Rolewicz’s property $(\beta )$, Umbel convexity and the geometry of trees, Equivalent norms with the property \((\beta)\) of Rolewicz, Asymptotic properties of Banach spaces and coarse quotient maps, (β)-distortion of some infinite graphs, Constructing a Lipschitz retraction from ℬ(ℋ) onto 𝒦(ℋ)
Cites Work
- Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\)
- The metrical interpretation of superreflexivity in Banach spaces
- \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces
- Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
- Banach spaces which are nearly uniformly convex
- Markov convexity and local rigidity of distorted metrics
- Property \((\beta)\) and uniform quotient maps
- Compactly uniformly convex spaces and property \((\beta)\) of Rolewicz
- Examples of uniformly homeomorphic Banach spaces
- Affine approximation of Lipschitz functions and nonlinear quotients
- Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
- Weak compactness and reflexivity
- Metrical characterization of super-reflexivity and linear type of Banach spaces
- Factoring compact operators
- Szlenk indices and uniform homeomorphisms
- On metric characterizations of the Radon–Nikodým and related properties of Banach spaces
- ALMOST FRÉCHET DIFFERENTIABILITY OF LIPSCHITZ MAPPINGS BETWEEN INFINITE-DIMENSIONAL BANACH SPACES
- Asymptotic geometry of Banach spaces and uniform quotient maps
- DIAMOND GRAPHS AND SUPER-REFLEXIVITY
- A new metric invariant for Banach spaces
- On ∆-uniform convexity and drop property
- PLANE WITH $A_{\infty}$ -WEIGHTED METRIC NOT BILIPSCHITZ EMBEDDABLE TO ${\bb R}^n$
- Bi-Lipschitz embeddings of hyperspaces of compact sets
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