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001			EBC3113750
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005			20240729124550.0
006			m o d |
007			cr cnu||||||||
008			240724s1996 xx o ||||0 eng d
020			_a9781470401504 _q(electronic bk.)
020			_z9780821804407
035			_a(MiAaPQ)EBC3113750
035			_a(Au-PeEL)EBL3113750
035			_a(CaPaEBR)ebr10918686
035			_a(OCoLC)891383955
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA614.82 -- .K875 1996eb
082	0		_a514/.74
100	1		_aKurland, Henry L.
245	1	0	_aIntersection Pairings on Conley Indices.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1996.
264		4	_c©1996.
300			_a1 online resource (199 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.119
505	0		_aIntro -- 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 -- D. Factor and Product Intersection Pairings -- Chapter 9. The Cap Product Representation of L and the Nonsingularity of [sup(#)]L -- A. The Cap Product Representation and Corollaries.
505	8		_aB. Some Technical Propositions on Poincare Duality Isomorphisms and Cech Cap Products -- C. Results Leading to the Proof of Theorem 9.4 -- D. The Case S ∩ ∂ M ≠ θ -- Appendix A. Intersection Numbers and Existence Results for Two-Point Boundary Value Problems of Singularly Perturbed Systems -- Appendix B. Proofs of the Propositions in 9.B -- References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aFlows (Differentiable dynamical systems).
650		0	_aTopological dynamics.
650		0	_aIntersection theory.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKurland, Henry L. _tIntersection Pairings on Conley Indices _dProvidence : American Mathematical Society,c1996 _z9780821804407
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113750 _zClick to View
999			_c69281 _d69281