Metric Spaces of Non-Positive Curvature: 319 (Grundlehren der mathematischen Wissenschaften) - Softcover

Críticas

"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

Reseña del editor

A description of 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 provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.