Metric spaces of non-positive curvature

by Martin R. Bridson | 15 October 1999
Hardback
Category: Mathematics
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.
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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.
Currently out of stock
Orders will not be processed until after the current Coronavirus (COVID-19) restrictions are lifted
Eligible for free delivery
377 Reward Points

Any purchases for more than €10 are eligible for free delivery anywhere in the UK or Ireland!

€125.99
Currently out of stock
Orders will not be processed until after the current Coronavirus (COVID-19) restrictions are lifted
Eligible for free delivery
377 Reward Points

Any purchases for more than €10 are eligible for free delivery anywhere in the UK or Ireland!

Product Description

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.

Product Details

Metric spaces of non-positive curvature

ISBN9783540643241

FormatHardback

Publisher (15 October. 1999)

No. of Pages643

Weight1172

Language English (United States)

Dimensions 235 x 155 x 42