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Metric Spaces of Non-Positive Curvature /

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 rudimen...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bridson, Martin R.
Otros Autores: Haefliger, André
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 319.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Metric Spaces of Non-Positive Curvature /  |c by Martin R. Bridson, André Haefliger. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 1999. 
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505 0 |a Geodesic Metric Spaces -- CAT Spaces -- Topics in non-positive curvature. The complete table of contents can be found on the Internet: http://www.springer.de. 
520 |a 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. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Mathematics. 
650 0 |a Group theory. 
650 0 |a Cell aggregation  |x Mathematics. 
650 6 |a Mathématiques. 
650 6 |a Théorie des groupes. 
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650 7 |a Group theory  |2 fast 
650 7 |a Mathematics  |2 fast 
700 1 |a Haefliger, André. 
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830 0 |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ;  |v 319. 
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