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Metric embeddings : bilipschitz and coarse embeddings into Banach spaces

Author: Mikhail I Ostrovskii
Publisher: Berlin : De Gruyter, 2013.
Series: De Gruyter Studies in Mathematics, 49.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Metric embeddings.
Summary:
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. The book will help readers to enter and to work in this very rapidly developing area having many important connections with different parts of mathematics and computer science. The purpose of the book is to present some of the most important techniques and results, mostly on bilipschitz and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Erscheint auch als
Elektronische Reproduktion von
Erscheint auch als
Ostrovskii.
Metric embeddings.
Berlin ; Boston, Mass. : de @Gruyter, 2013
XI, 372 S.
Druck-Ausgabe
(DE-101)1033298514
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mikhail I Ostrovskii
ISBN: 9783119166225 3119166227 9783110264012 3110264013 9783110263404 3110263408
OCLC Number: 855226579
In: Ostrovskii, Mikhail I
Description: 1 Online-Ressource.
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.
Series Title: De Gruyter Studies in Mathematics, 49.
Responsibility: Mikhail I. Ostrovskii.
More information:

Abstract:

Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. This book helps readers to enter and to work in this very rapidly  Read more...

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"Ostrovskii's Metric Embeddings: Bilipchitz and Coarse Embeddings into Banach Spaces is a very valuable addition to the literature. It contains an impressive amount of material and is recommended to Read more...

 
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