03572nam 2200589 450 991048069250332120180731043854.01-4704-0150-9(CKB)3360000000464755(EBL)3113750(SSID)ssj0000889002(PQKBManifestationID)11566321(PQKBTitleCode)TC0000889002(PQKBWorkID)10881934(PQKB)11351341(MiAaPQ)EBC3113750(PPN)195414535(EXLCZ)99336000000046475520140903h19961996 uy 0engur|n|---|||||txtccrIntersection pairings on Conley indices /Henry L. KurlandProvidence, Rhode Island :American Mathematical Society,1996.©19961 online resource (199 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 119, Number 571"January 1996, Volume 119, Number 571 (fourth of 5 numbers)."0-8218-0440-5 Includes bibliographical references.""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""""Chapter 3. Statement of the Continuation Results and Examples""""A. Invariance of Intersection Numbers under Continuation""; ""B. Continuation of £ 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""""Chapter 6. Some Basic Computational Tools""""A. Conditions on Singular Cycles for Computing L and [sup(#)]L""; ""B. The Behavior of £ 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""Memoirs of the American Mathematical Society ;Volume 119, Number 571.Flows (Differentiable dynamical systems)Topological dynamicsIntersection theoryElectronic books.Flows (Differentiable dynamical systems)Topological dynamics.Intersection theory.514/.74Kurland Henry L.1947-898981MiAaPQMiAaPQMiAaPQBOOK9910480692503321Intersection pairings on Conley indices2008421UNINA