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9783110263404

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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 anyone having some interest in these geometric problems. The area is developing at an extremely fast pace and it is difficult to find in a book format the recent developments; the monograph under review contains some very interesting ones. Florent B. Baudier and William B. Johnson, Bulletin of the American Mathematical Society The author has succeeded in making profound material from both the functional analytic and the discrete side accessible to his readers. All the arguments are exposed in great detail, and the line of reasoning is laid out clearly. The book can be highly recommended to researchers who wish to enter the rapidly developing area of metric embeddings. Dirk Werner, Zentralblatt fur Mathematik

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 anyone having some interest in these geometric problems. The area is developing at an extremely fast pace and it is difficult to find in a book format the recent developments; the monograph under review contains some very interesting ones. Florent B. Baudier and William B. Johnson, Bulletin of the American Mathematical Society The author has succeeded in making profound material from both the functional analytic and the discrete side accessible to his readers. All the arguments are exposed in great detail, and the line of reasoning is laid out clearly. The book can be highly recommended to researchers who wish to enter the rapidly developing area of metric embeddings. Dirk Werner, Zentralblatt fur Mathematik

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Mikhail I. Ostrovskii, St. John's University, Queens, USA.

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