東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Elements of Asymptotic Geometry

Buyalo, Sergei,

Linked to FindBook

Google Book

Amazon

博客來

Elements of Asymptotic Geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elements of Asymptotic Geometry/ Sergei Buyalo, Viktor Schroeder
Author:	Buyalo, Sergei,
other author:	Schroeder, Viktor,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2007,
Description:	1 online resource (212 pages)
Subject:	Differential & Riemannian geometry -
Online resource:	https://doi.org/10.4171/036
Online resource:	https://www.ems-ph.org/img/books/schroeder_mini.jpg
ISBN:	9783037195369

Elements of Asymptotic Geometry
Buyalo, Sergei,

Elements of Asymptotic Geometry[electronic resource] /Sergei Buyalo, Viktor Schroeder - Zuerich, Switzerland :European Mathematical Society Publishing House,2007 - 1 online resource (212 pages) - EMS Monographs in Mathematics (EMM) ;2523-5192.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory.

ISBN: 9783037195369

Standard No.: 10.4171/036doiSubjects--Topical Terms:

3480810
Differential & Riemannian geometry

Elements of Asymptotic Geometry
LDR:02562nmm a22003015a 4500 001 2233162
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20070524sz fot ||| 0|eng d
020 $a 9783037195369
024 7 0 $a 10.4171/036 $2 doi
035 $a 58-091109
040 $a ch0018173
072 7 $a PBMP $2 bicssc
084 $a 51-xx $a 53-xx $2 msc
100 1 $a Buyalo, Sergei, $e author. $3 3480889
245 1 0 $a Elements of Asymptotic Geometry $h [electronic resource] / $c Sergei Buyalo, Viktor Schroeder
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2007
300 $a 1 online resource (212 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Monographs in Mathematics (EMM) ; $x 2523-5192
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory.
650 0 7 $a Differential & Riemannian geometry $2 bicssc $3 3480810
650 0 7 $a Geometry $3 703106
650 0 7 $a Differential geometry $2 msc $3 3480811
700 1 $a Schroeder, Viktor, $e author. $3 3480890
856 4 0 $u https://doi.org/10.4171/036
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/schroeder_mini.jpg