Metric Spaces of Non-Positive Curvature

1st ed. 1999. Corr. 2nd printing 2009

by Andre Hafliger , Martin R. Bridson

Book Details

Format Hardback or Cased Book

Book Series Grundlehren der mathematischen Wissenschaften

ISBN-10 3540643249

ISBN-13 9783540643241

Edition 1st ed. 1999. Corr. 2nd printing 2009

Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Country of Manufacture GB

Country of Publication GB

Publication Date Oct 15th, 1999

Print length 643 Pages

Weight 1,114 grams

Dimensions 23.70 x 16.30 x 4.40 cms

Product Classification: Groups & group theory Geometry Topology Probability & statistics

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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. 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.

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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