LEADER 00920nam2-2200337---450 001 990001947310203316 005 20220407084643.0 035 $a000194731 035 $aUSA01000194731 035 $a(ALEPH)000194731USA01 035 $a000194731 100 $a20040823d1978----km-y0itay0103----ba 101 $aita 102 $aIT 105 $aa|||||||001yy 200 1 $a4 : Roma$fTheodor Kraus 210 $aMilano$cMondadori$d1978 215 $a191 p.$cill.$d28 cm 225 2 $aLibri illustrati Mondadori 410 0$12001$aLibri illustrati Mondadori 454 1$12001 461 1$1001000194720$12001$aStoria della scultura nel mondo 606 0 $aScultura$xStoria 700 1$aKRAUSS,$bTheodor$0565549 801 0$aIT$bsalbc$gISBD 912 $a990001947310203316 951 $aXI.2.B. 124/4(730.9 STO)$bL.M.$c730.9 STO 959 $aBK 969 $aUMA 996 $a4 : Roma$92806601 997 $aUNISA LEADER 02878nam 22004215a 450 001 9910151936503321 005 20091109150325.0 010 $a3-03719-536-3 024 70$a10.4171/036 035 $a(CKB)3710000000953810 035 $a(CH-001817-3)58-091109 035 $a(PPN)178155225 035 $a(EXLCZ)993710000000953810 100 $a20091109j20070524 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElements of Asymptotic Geometry$b[electronic resource] /$fSergei Buyalo, Viktor Schroeder 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2007 215 $a1 online resource (212 pages) 225 0 $aEMS Monographs in Mathematics (EMM) ;$x2523-5192 330 $aAsymptotic 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. 606 $aDifferential & Riemannian geometry$2bicssc 606 $aGeometry$2msc 606 $aDifferential geometry$2msc 615 07$aDifferential & Riemannian geometry 615 07$aGeometry 615 07$aDifferential geometry 686 $a51-xx$a53-xx$2msc 700 $aBuyalo$b Sergei$01071021 702 $aSchroeder$b Viktor 801 0$bch0018173 906 $aBOOK 912 $a9910151936503321 996 $aElements of Asymptotic Geometry$92565667 997 $aUNINA