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Autore: | Kurland Henry L. <1947-> |
Titolo: | Intersection pairings on Conley indices / / Henry L. Kurland |
Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
©1996 | |
Descrizione fisica: | 1 online resource (199 p.) |
Disciplina: | 514/.74 |
Soggetto topico: | Flows (Differentiable dynamical systems) |
Topological dynamics | |
Intersection theory | |
Note generali: | "January 1996, Volume 119, Number 571 (fourth of 5 numbers)." |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | ""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"" | |
Titolo autorizzato: | Intersection pairings on Conley indices |
ISBN: | 1-4704-0150-9 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910818935203321 |
Lo trovi qui: | Univ. Federico II |
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