001484495 000__ 02949cam\\2200565\i\4500 001484495 001__ 1484495 001484495 003__ OCoLC 001484495 005__ 20240117003326.0 001484495 006__ m\\\\\o\\d\\\\\\\\ 001484495 007__ cr\un\nnnunnun 001484495 008__ 231204s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001484495 019__ $$a1410494218$$a1410592717 001484495 020__ $$a9783031391620$$q(electronic bk.) 001484495 020__ $$a3031391624$$q(electronic bk.) 001484495 020__ $$z9783031391613 001484495 020__ $$z3031391616 001484495 0247_ $$a10.1007/978-3-031-39162-0$$2doi 001484495 035__ $$aSP(OCoLC)1411654855 001484495 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX$$dOCLCO 001484495 049__ $$aISEA 001484495 050_4 $$aQA551 001484495 08204 $$a516.3/7$$223/eng/20231204 001484495 1001_ $$aPetrunin, Anton,$$d1968-$$eauthor. 001484495 24510 $$aPure metric geometry /$$cAnton Petrunin. 001484495 264_1 $$aCham :$$bSpringer,$$c2023. 001484495 300__ $$a1 online resource (viii, 103 pages) :$$billustrations. 001484495 336__ $$atext$$btxt$$2rdacontent 001484495 337__ $$acomputer$$bc$$2rdamedia 001484495 338__ $$aonline resource$$bcr$$2rdacarrier 001484495 4901_ $$aSpringerBriefs in mathematics,$$x2191-8201 001484495 504__ $$aIncludes bibliographical references and index. 001484495 5050_ $$aPreface -- Definitions -- Universal Spaces -- Injective Spaces -- Space of Subsets -- Space of Spaces -- Ultralimits -- Semisolutions -- Bibliography. 001484495 506__ $$aAccess limited to authorized users. 001484495 520__ $$aThis book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport. Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics. 001484495 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 4, 2023). 001484495 650_6 $$aGéométrie. 001484495 650_6 $$aEspaces métriques. 001484495 650_0 $$aGeometry.$$0(DLC)sh2002004432 001484495 650_0 $$aMetric spaces. 001484495 655_0 $$aElectronic books. 001484495 77608 $$iPrint version:$$aPetrunin, Anton$$tPure Metric Geometry$$dCham : Springer,c2023 001484495 830_0 $$aSpringerBriefs in mathematics,$$x2191-8201 001484495 852__ $$bebk 001484495 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-39162-0$$zOnline Access$$91397441.1 001484495 909CO $$ooai:library.usi.edu:1484495$$pGLOBAL_SET 001484495 980__ $$aBIB 001484495 980__ $$aEBOOK 001484495 982__ $$aEbook 001484495 983__ $$aOnline 001484495 994__ $$a92$$bISE