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Metric Spaces of Non-Positive Curvature 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Haefliger, A. 作者

Springer Verlag

译者

出版日期

664 页数

$ 145.77 价格

HRD

Grundlehren der mathematischen Wissenschaften 丛书系列

9783540643241 图书编码

Metric Spaces of Non-Positive Curvature 在线电子书图书标签: 数学

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Metric Spaces of Non-Positive Curvature 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Metric Spaces of Non-Positive Curvature 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Metric Spaces of Non-Positive Curvature 在线电子书图书描述

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.

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