Metric Embeddings : : Bilipschitz and Coarse Embeddings into Banach Spaces /

Metric Embeddings : : Bilipschitz and Coarse Embeddings into Banach Spaces / / Mikhail I. Ostrovskii.

Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. The purpose of the book is to present some of the most important techniques and results, mostly on bilipschitz and coarse embeddings. The topics include: (1) Embeddability of l...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Ostrovskii, Mikhail I.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2013
Year of Publication:2013
Language:English
Series:De Gruyter Studies in Mathematics , 49
Online Access:
Physical Description:1 online resource (372 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 1. Introduction: examples of metrics, embeddings, and applications
  • Chapter 2. Embeddability of locally finite metric spaces into Banach spaces is finitely determined. Related Banach space theory
  • Chapter 3. Constructions of embeddings
  • Chapter 4. Obstacles for embeddability: Poincaré inequalities
  • Chapter 5. Families of expanders and of graphs with large girth
  • Chapter 6. Banach spaces which do not admit uniformly coarse embeddings of expanders
  • Chapter 7. Structure properties of spaces which are not coarsely embeddable into a Hilbert space
  • Chapter 8. Applications of Markov chains to embeddability problems
  • Chapter 9. Metric characterizations of classes of Banach spaces
  • Chapter 10. Lipschitz free spaces
  • Chapter 11. Open problems
  • Bibliography
  • Author index
  • Subject index

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