Overview
This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces. In Part II the basic theory of spaces with upper curvature bounds is developed. More specialized topics, such as complexes of groups, are covered in Part III. The book is divided into three parts, each part is divided into chapters and the chapters have various subheadings. The chapters in Part III are longer and for ease of reference are divided into numbered sections.
Full Product Details
Author: Martin R. Bridson ,
André Häfliger
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 1st ed. 1999. Corr. 2nd printing 2009
Volume: 319
Dimensions:
Width: 15.50cm
, Height: 3.60cm
, Length: 23.50cm
Weight: 1.172kg
ISBN: 9783540643241
ISBN 10: 3540643249
Pages: 643
Publication Date: 15 October 1999
Audience:
College/higher education
,
General/trade
,
Postgraduate, Research & Scholarly
,
General
Format: Hardback
Publisher's Status: Active
Availability: Awaiting stock
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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 fur 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 fur 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 fur Mathematik und ihre Grenzgebiete , 2002
This book is beautifully and clearly written and contains many illustrations and examples but also many deep results.<br>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. <br>K. Dekimpe in Nieuw Archief voor Wiskunde, June 2001 <p> 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. <p>A. Papadopoulos in Zentralblatt fA1/4r Mathematik und ihre Grenzgebiete, 2002 <p>
