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Intersection pairings on Conley indices / / Henry L. Kurland
| Intersection pairings on Conley indices / / Henry L. Kurland |
| Autore | Kurland Henry L. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Flows (Differentiable dynamical systems)
Topological dynamics Intersection theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0150-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480692503321 |
Kurland Henry L. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intersection pairings on Conley indices / / Henry L. Kurland
| Intersection pairings on Conley indices / / Henry L. Kurland |
| Autore | Kurland Henry L. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Flows (Differentiable dynamical systems)
Topological dynamics Intersection theory |
| ISBN | 1-4704-0150-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788759003321 |
|
Kurland Henry L. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intersection pairings on Conley indices / / Henry L. Kurland
| Intersection pairings on Conley indices / / Henry L. Kurland |
| Autore | Kurland Henry L. <1947-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Flows (Differentiable dynamical systems)
Topological dynamics Intersection theory |
| ISBN | 1-4704-0150-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910818935203321 |
|
Kurland Henry L. <1947->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||