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 theory2815971UNINA00683nam0 22002171i 450 UON0020324020231205103302.31920030730d1993 |0itac50 baengUS|||| |||||Construction grammar coursebookC.J. Fillmore, P. KayBerkeleyCopy Central1993.GBLondonUONL003044HALLIDAYMichael Alexander KirkwoodUONV121642132885McINTOSHA.UONV121653826313Longmans, Green & Co.UONV273257650ITSOL20240220RICAUON00203240Construction grammar coursebook1850244UNIOR