LEADER 03442nam 2200577 450 001 9910478884103321 005 20170822144508.0 010 $a1-4704-0358-7 035 $a(CKB)3360000000464944 035 $a(EBL)3114458 035 $a(SSID)ssj0000973493 035 $a(PQKBManifestationID)11537981 035 $a(PQKBTitleCode)TC0000973493 035 $a(PQKBWorkID)10959881 035 $a(PQKB)10840914 035 $a(MiAaPQ)EBC3114458 035 $a(PPN)195416465 035 $a(EXLCZ)993360000000464944 100 $a20020613h20022002 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExtending intersection homology type invariants to non-Witt spaces /$fMarkus Banagl 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002] 210 4$d©2002 215 $a1 online resource (101 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 760 300 $aDescription based upon print version of record. 311 $a0-8218-2988-2 320 $aIncludes bibliographical references (page 83). 327 $a""Contents""; ""Chapter 1. Introduction""; ""1. History""; ""2. Motivation""; ""3. The Main Result: A Postnikov System of Lagrangian Structures""; ""4. Consequences: Characteristic Classes""; ""5. Ordered Resolutions a??? A Model Construction""; ""6. Applications""; ""7. Further Developments""; ""8. Sign Questions""; ""9. Some Remarks on Coefficients""; ""10. Acknowledgments""; ""11. Notation""; ""Chapter 2. The Algebraic Framework""; ""1. The Lifting Obstruction""; ""2. The Category of Selfa???Dual Sheaves Compatible with IH""; ""3. Lagrangian Structures"" 327 $a""4. Extracting Lagrangian Structures from Selfa???Dual Sheaves""""5. Lagrangian Structures as Building Blocks for Selfa???Dual Sheaves""; ""6. A Postnikov system""; ""Chapter 3. Ordered Resolutions""; ""1. The Purpose of the Construction""; ""2. Definitions""; ""3. The PL Construction""; ""4. Inductive Singularization of a Manifold""; ""Chapter 4. The Cobordism Group I?©[sup(SD)][sub(*)]""; ""1. The Closed Objects""; ""2. The Admissible Cobordisms""; ""3. The Cobordism Invariance of I??""; ""4. Relation to Witt Space Cobordism""; ""Chapter 5. Lagrangian Structures and Ordered Resolutions"" 327 $a""1. Statement of Result""""2. The inductive seta???up""; ""3. Construction of a nonsingular pairing on H[sup(k)](j*S[sup[.)]""; ""4. Stalks of H[sup(k)](j*S[sup[.)] as the hypercohomology of the link of I?£""; ""5. The restriction of L[[sup(.)](X[sup((m))]) to V(x) is selfa???dual""; ""6. The construction of a Lagrangian subsheaf of H[sup(k)](j*S[sup[.)]""; ""7. The definition of L[sup(.)](X[sup((m+1))])""; ""Appendix A. On Signs""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 760. 606 $aIntersection homology theory 606 $aDuality theory (Mathematics) 608 $aElectronic books. 615 0$aIntersection homology theory. 615 0$aDuality theory (Mathematics) 676 $a510 s 676 $a514/.23 700 $aBanagl$b Markus$f1971-$0478943 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478884103321 996 $aExtending intersection homology type invariants to non-Witt spaces$92116347 997 $aUNINA