The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.
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The book is an introduction of Gromov's theory of hyperbolic spaces and hyperbolic groups. It contains complete proofs of some basic theorems which are due to Gromov, and emphasizes some important developments on isoperimetric inequalities, automatic groups, and the metric structure on the boundary of a hyperbolic space.
Les mer
Espaces métriques hyperboliques.- Bord d'un espace hyperbolique.- Quasi-géodésiques et quasi-isométries dans les espaces hyperboliques.- Groupes hyperboliques.- Le polyèdre Pd(X).- Inégalités isopérimétriques et espaces hyperboliques.- Inégalités isopérimétriques : une application.- Approximation par des arbres.- Classification des isométries.- Parties quasi-convexes d'un espace hyperbolique.- Structure métrique sur le bord d'un espace hyperbolique.- Automates et groupes hyperboliques.
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Produktdetaljer
ISBN
9783540529774
Publisert
1990-09-12
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, U, P, 05, 06
Språk
Product language
Fransk
Format
Product format
Heftet