
Title

Metric Spaces Of Nonpositive Curvature (Grundlehren Der Mathematischen Wissenschaften, 319)
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A Description Of The Global Properties Of Simplyconnected Spaces That Are Nonpositively 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: Nontrivial 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.
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Frequently Asked Questions
- Q: What is the main focus of 'Metric Spaces of Non-Positive Curvature'? A: The main focus of the book is to describe the global properties of complete simply connected spaces that are non-positively curved, as defined by A. D. Alexandrov, and to analyze the structure of groups that act on these spaces by isometries.
- Q: What is the CAT(O) inequality discussed in the book? A: The CAT(O) inequality is a geometric condition that encapsulates the concept of non-positive curvature in Riemannian geometry, applicable to geodesic metric spaces, ensuring that every triangle satisfies specific curvature properties.
- Q: Who is the author of this book? A: The book is authored by Martin R. Bridson.
- Q: What is the condition of the book being sold? A: The book is listed as 'New' and is described as a 'Used Book in Good Condition'.
- Q: How many pages does the book contain? A: The book contains 664 pages.
- Q: What type of binding does this book have? A: The book is available in hardcover binding.
- Q: When was 'Metric Spaces of Non-Positive Curvature' published? A: The book was published on October 15, 1999.
- Q: What category does this book fall under? A: This book falls under the 'Probability & Statistics' category.
- Q: What type of reader would benefit from this book? A: This book is beneficial for readers interested in advanced mathematical concepts, specifically in metric geometry and group theory.
- Q: Is prior knowledge required to understand the concepts in this book? A: Yes, a background in mathematics, particularly in geometry and topology, is recommended to fully grasp the concepts discussed in the book.