Metric Spaces Admitting Low-distortion Embeddings into All n-dimensional Banach Spaces

DOI10.4153/CJM-2015-041-7zbMath1362.46027arXiv1412.7670MaRDI QIDQ2994685

Beata Randrianantoanina, Mikhail I. Ostrovskii

Publication date: 3 August 2016

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7670

zbMATH Keywords

metric spacesdistortionultrametric spacebilipschitz embeddingequilateral setdiamond graphbasis constant

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Distance in graphs (05C12) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05)

Related Items (2)

Distortion of embeddings of binary trees into diamond graphs ⋮ A new approach to low-distortion embeddings of finite metric spaces into non-superreflexive Banach spaces

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