LEADER 03572nam 2200589 450 001 9910480692503321 005 20180731043854.0 010 $a1-4704-0150-9 035 $a(CKB)3360000000464755 035 $a(EBL)3113750 035 $a(SSID)ssj0000889002 035 $a(PQKBManifestationID)11566321 035 $a(PQKBTitleCode)TC0000889002 035 $a(PQKBWorkID)10881934 035 $a(PQKB)11351341 035 $a(MiAaPQ)EBC3113750 035 $a(PPN)195414535 035 $a(EXLCZ)993360000000464755 100 $a20140903h19961996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntersection pairings on Conley indices /$fHenry L. Kurland 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1996. 210 4$dİ1996 215 $a1 online resource (199 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 119, Number 571 300 $a"January 1996, Volume 119, Number 571 (fourth of 5 numbers)." 311 $a0-8218-0440-5 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Basic Notation and Background Definitions""; ""A. Basic Notation""; ""B. The Conley Index""; ""C. Homology and Cohomology of Conley Indices""; ""D. Sign Conventions for Products in Homology and Cohomology""; ""Chapter 2. TheIntersection Pairings L, L, and [sup(#)]L""; ""A. Pairs of Index Pairs Admissible for the Intersection Pairing""; ""B. The Euclidean Case: the Homology Intersection Number Pairing L""; ""C. The Manifold Case: the Intersection Class and NumberPairings L and [(sup(#)]L"" 327 $a""Chapter 3. Statement of the Continuation Results and Examples""""A. Invariance of Intersection Numbers under Continuation""; ""B. Continuation of A?£ over a Path of Isolated Invariant Sets""; ""Chapter 4. Construction of Bilinear Pairings on Conley Indices""; ""A. The Existence of Admissible Pairs of Index Pairs""; ""B. Functorially Produced Pairings on the Conley Indices""; ""C. The Proofs of Theorems 2.4 and 2.11""; ""Chapter 5. Proofs of the Continuation Results""; ""A. Maps between Conley Indices from Paths of Invariant Sets""; ""B. The Proofs of Theorems 3.1, 3.2, 3.3, and 3.7"" 327 $a""Chapter 6. Some Basic Computational Tools""""A. Conditions on Singular Cycles for Computing L and [sup(#)]L""; ""B. The Behavior of A?£ under Orbit Preserving Maps""; ""Chapter 7. L for Normally Hyperbolic Invariant Submanifolds""; ""A. Summary of Results""; ""B. Computational Preliminaries""; ""C. Results Leading to the Proof of Theorem 7.5""; ""D. Results Leading to the Proof of Theorem 7.6""; ""Chapter 8. Products of Intersection Pairings""; ""A. Preliminary Observations and Definitions""; ""B. Conley Indices of Product Invariant Sets""; ""C. A Kunneth Theorem for Conley Indices"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 119, Number 571. 606 $aFlows (Differentiable dynamical systems) 606 $aTopological dynamics 606 $aIntersection theory 608 $aElectronic books. 615 0$aFlows (Differentiable dynamical systems) 615 0$aTopological dynamics. 615 0$aIntersection theory. 676 $a514/.74 700 $aKurland$b Henry L.$f1947-$0898981 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480692503321 996 $aIntersection pairings on Conley indices$92008421 997 $aUNINA