02110nam a22003975a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016707200170018408400360020110000370023724501210027426000820039530000340047733600260051133700260053733800360056334700240059949000820062350600660070552006230077165000290139465000470142365000240147065000410149465000550153565000180159085600320160885600720164022-141027CH-001817-320141027234500.0a    fot    ||| 0|cr nn mmmmamaa141027e20140118sz     fot    ||| 0|eng d  a978303719632870a10.4171/1322doi  ach0018173 7aPBKD2bicssc 7aPBMP2bicssc  a26-xxa30-xxa32-xxa51-xx2msc1 aPapadopoulos, Athanase,eauthor.10aMetric Spaces, Convexity and Nonpositive Curvatureh[electronic resource] :bSecond edition /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2014  a1 online resource (320 pages)  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v61 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php  aThis book is about metric spaces of nonpositive curvature in the sense of Busemann, that is, metric spaces whose distance function satisfies a convexity condition. It also contains a systematic introduction to metric geometry, as well as a detailed presentation of some facets of convexity theory that are useful in the study of nonpositive curvature.
The concepts and the techniques are illustrated by many examples, in particular from hyperbolic geometry, Hilbert geometry and Teichmüller
theory.
For the second edition, some corrections and a few additions have been made, and the bibliography has been updated.07aComplex analysis2bicssc07aDifferential & Riemannian geometry2bicssc07aReal functions2msc07aFunctions of a complex variable2msc07aSeveral complex variables and analytic spaces2msc07aGeometry2msc40uhttps://doi.org/10.4171/132423cover imageuhttps://www.ems-ph.org/img/books/papadopoulos_mini.jpg