Strongly non-embeddable metric spaces

DOI10.1016/j.topol.2011.11.041zbMath1242.46028arXiv1109.5300OpenAlexW2070183896MaRDI QIDQ409513

J. Herrera, H. S. Yoon

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5300

zbMATH Keywords

uniform embeddingcoarse embeddinglocally finite metric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Distance in graphs (05C12) Nonlinear functional analysis (46T99) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (4)

Supremal \(p\)-negative type of vertex transitive graphs ⋮ Metric trees of generalized roundness one ⋮ COMPARING THE GENERALISED ROUNDNESS OF METRIC SPACES ⋮ Nonpositive curvature is not coarsely universal

Cites Work

• A theorem of Hrushovski-Solecki-Vershik applied to uniform and coarse embeddings of the Urysohn metric space
• Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
• Generalized roundness and negative type
• On a problem of Smirnov
• Uniform Embeddings into Hilbert Space and a Question of Gromov
• Coarse embeddings of metric spaces into Banach spaces
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