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eBay-Artikelnr.:176736074710
Artikelmerkmale
- Artikelzustand
- ISBN
- 9783540643241
Über dieses Produkt
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540643249
ISBN-13
9783540643241
eBay Product ID (ePID)
1009781
Product Key Features
Number of Pages
Xxi, 643 Pages
Language
English
Publication Name
Metric Spaces of Non-Positive Curvature
Publication Year
1999
Subject
Algebra / Abstract, Geometry / General, Topology
Type
Textbook
Subject Area
Mathematics
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Format
Hardcover
Dimensions
Item Weight
41.3 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
99-038163
Reviews
"This book is beautifully and clearly written and contains many illustrations and examples but also many deep results. It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists." K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001 "In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments." A. Papadopoulos in "Zentralblatt für Mathematik und ihre Grenzgebiete", 2002 , "This book is beautifully and clearly written and contains many illustrations and examples but also many deep results. It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists." K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001 "In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments." A. Papadopoulos in "Zentralblatt f'r Mathematik und ihre Grenzgebiete", 2002 , "This book is beautifully and clearly written and contains many illustrations and examples but also many deep results. It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists." K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001 "In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments." A. Papadopoulos in "Zentralblatt fr Mathematik und ihre Grenzgebiete", 2002, "This book is beautifully and clearly written and contains many illustrations and examples but also many deep results.It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists."K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001"In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments."A. Papadopoulos in "Zentralblatt für Mathematik und ihre Grenzgebiete", 2002 , "This book is beautifully and clearly written and contains many illustrations and examples but also many deep results. It is my opinion that this book will become a standard work in mathematical literature and will be used by many people, from undergraduates to specialists." K. Dekimpe in "Nieuw Archief voor Wiskunde", June 2001 "In conclusion, it can be said that the book is an indispensable reference and a very useful tool for graduate students who want to learn this theory as well as for researchers working in the subject. The exposition is clear, the proofs are complete, and some of the advanced results that are discussed are original. Every section of the book contains interesting historical remarks and comments." A. Papadopoulos in "Zentralblatt für Mathematik und ihre Grenzgebiete", 2002
Dewey Edition
21
Series Volume Number
319
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514/.32
Table Of Content
I. Geodesic Metric Spaces.- 1. Basic Concepts.- 2. The Model Spaces M?n.- 3. Length Spaces.- 4. Normed Spaces.- 5. Some Basic Constructions.- 6. More on the Geometry of M?n.- 7. M?-Polyhedral Complexes.- 8. Group Actions and Quasi-Isometries.- II. CAT(?) Spaces.- 1. Definitions and Characterizations of CAT(?) Spaces.- 2. Convexity and Its Consequences.- 3. Angles, Limits, Cones and Joins.- 4. The Cartan-Hadamard Theorem.- 5. M?-Polyhedral Complexes of Bounded Curvature.- 6. Isometries of CAT(0) Spaces.- 7. The Flat Torus Theorem.- 8. The Boundary at Infinity of a CAT(0) Space.- 9. The Tits Metric and Visibility Spaces.- 10. Symmetric Spaces.- 11. Gluing Constructions.- 12. Simple Complexes of Groups.- III. Aspects of the Geometry of Group Actions.- H. ?-Hyperbolic Spaces.- ?. Non-Positive Curvature and Group Theory.- C. Complexes of Groups.- G. Groupoids of local Isometries.- References.
Synopsis
The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov ., The purpose of this book is to describe the global properties of complete simply- connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov ., This beautifully written book is recommended for graduate students entering the subject, as well as for specialists looking for a comprehensive reference.
LC Classification Number
QA611-614.97
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vanesssu-65
100% positive Bewertungen•40 Artikel verkauft
Angemeldet als privater VerkäuferDaher finden verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe. Mehr erfahrenMehr erfahren
Verkäuferbewertungen (13)
- 8***k (8)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufVery good communication from seller. Item came in excellent condition, worth it for the price I paid.Abstract Algebra by Dummit and Foote - Hardcover (Nr. 176740962888)
- t***i (343)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufStill sealed. Well packaged. Thank you.The Warning Queen Of The Murder Scene Vinyl - brand New, Sealed (Nr. 176868884467)
- l***i (362)- Bewertung vom Käufer.Letztes JahrBestätigter KaufEasy and excellent transaction. Thank you.Not In Love Ali Hazelwood Illumicrate/Afterlight Exclusive Edition Sprayed Edges (Nr. 176500318008)