04170nam 2200961 450 991055428120332120210309105152.00-691-20035-110.1515/9780691200354(CKB)4100000011674266(DE-B1597)570995(DE-B1597)9780691200354(MiAaPQ)EBC6427243(StDuBDS)EDZ0002531172(OCoLC)1228034730(PPN)253621488(EXLCZ)99410000001167426620201208d2021 fy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA course on surgery theory /Stanley Chang, Shmuel Weinberger[electronic resource]Princeton :Princeton University Press,2021.1 online resource (472 p.) 14 b/w illusAnnals of mathematics studies ;number 211Princeton scholarship onlineAlso issued in print: 2021.0-691-16048-1 Includes bibliographical references and index.Frontmatter -- Contents -- List of Figures -- Preface -- Introduction -- 1 The characterization of homotopy types -- 2 Some calculations of L-groups -- 3 Classical surgery theory -- 4 Topological surgery and surgery spaces -- 5 Applications of the assembly map -- 6 Beyond characteristic classes -- 7 Flat and almost flat manifolds -- 8 Other surgery theories -- Appendix A: Some background in algebraic topology -- Appendix B: Geometric preliminaries -- List of Symbols -- Bibliography -- IndexSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. This book offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest.Annals of mathematics studies ;number 211.Princeton scholarship online.Surgery (Topology)Borel conjecture.Chapman-Ferry.Farrell-Hsiang.Kirby-Siebenmann.L-theory.Novikov conjecture.PL category.PL topology.algebraic topology.assembly map.assembly perspective on surgery.bounded topology.classification of manifolds.controlled topology.differential topology.fibration.flat manifolds.homology manifolds.homology surgery.homotopy invariant.homotopy theory.index theorem.induction theory.manifold theory.quadratic form theory.quadratic form.representation theory.smooth category.splitting theorems.stratified spaces.surgery exact sequence.surgery obstruction group.tangent bundle.topological category.topological surgery theory.topology.Surgery (Topology)605415.7njb/10Chang Stanley1217700Weinberger ShmuelStDuBDSStDuBDSBOOK9910554281203321A course on surgery theory2815971UNINA00993nam0 22002651i 450 UON0016860320231205103042.94020030414d1975 |0itac50 baindID|||| 1||||Cerminsajak sajak 1972-1975W.M. Abdul HadiJakartaBudaja Djaja,197552 p.20 cmLETTERATURA INDONESIANAPOESIASEC. XXUONC000795FIIDJakartaUONL000164INDS VI BAINDONESIA - LETTERATURA MODERNA E CONTEMPORANEA - TESTIAABDUL HADIW. M.UONV035879653360Budaya JayaUONV254867650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00168603SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI INDS VI BA 324 N SI SA 108090 5 324 N Cermin1282141UNIOR