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Lectures on Coarse Geometry (University Lecture Series) - Softcover

 
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Coarse geometry is the study of spaces (particularly metric spaces) from a ''large scale'' point of view, so that two spaces that look the same from a great distance are actually equivalent. This point of view is effective because it is often true that the relevant geometric properties of metric spaces are determined by their coarse geometry. Two examples of important uses of coarse geometry are Gromov's beautiful notion of a hyperbolic group and Mostow's proof of his famous rigidity theorem. The first few chapters of the book provide a general perspective on coarse structures. Even when only metric coarse structures are in view, the abstract framework brings the same simplification as does the passage from epsilons and deltas to open sets when speaking of continuity. The middle section of the book reviews notions of negative curvature and rigidity. Modern interest in large scale geometry derives in large part from Mostow's rigidity theorem and from Gromov's subsequent ''large scale'' rendition of the crucial properties of negatively curved spaces. The final chapters discuss recent results on asymptotic dimension and uniform embeddings into Hilbert space. John Roe is known for his

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  • PublisherAmer Mathematical Society
  • Publication date2003
  • ISBN 10 0821833324
  • ISBN 13 9780821833322
  • BindingPaperback
  • LanguageEnglish
  • Number of pages175

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Roe, John
Published by American Mathematical Society, 2003
ISBN 10: 0821833324 ISBN 13: 9780821833322
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Condition: Good. Volume 31. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9780821833322. Seller Inventory # 5953789

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Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01671 9780821833322 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2485547

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Condition: New. 2003. UK ed. Paperback. Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space. Series: University Lecture Series. Num Pages: 175 pages, Illustrations. BIC Classification: PBM. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 253 x 177 x 10. Weight in Grams: 342. . . . . . Seller Inventory # V9780821833322

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Condition: New. 2003. UK ed. Paperback. Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space. Series: University Lecture Series. Num Pages: 175 pages, Illustrations. BIC Classification: PBM. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 253 x 177 x 10. Weight in Grams: 342. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780821833322

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