000			03733nam a22005053i 4500
001			EBC3114010
003			MiAaPQ
005			20240729124557.0
006			m o d |
007			cr cnu||||||||
008			240724s1992 xx o ||||0 eng d
020			_a9781470400583 _q(electronic bk.)
020			_z9780821825426
035			_a(MiAaPQ)EBC3114010
035			_a(Au-PeEL)EBL3114010
035			_a(CaPaEBR)ebr10918963
035			_a(OCoLC)922981474
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .I94 1992eb
082	0		_a514/.2
100	1		_aIze, Jorge.
245	1	0	_aDegree Theory for Equivariant Maps, the General S1-Action.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1992.
264		4	_c©1992.
300			_a1 online resource (194 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.100
505	0		_aIntro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER ONE: PRELIMINARIES -- 1.1. S[sup(1)]-actions -- 1.2. Almost semi-free action -- 1.3. Equivariant homotopy -- 1.4. The extension degree -- 1.5. Equivariant homotopy groups of spheres -- 1.6. Equivariant degree in the almost semi-free case -- CHAPTER TWO: EXTENSIONS OF 5[sup(1)]-MAPS -- 2.1. The fundamental cell lemma -- 2.2. The Extension Theorem -- 2.3. The Extension degree -- 2.4. Properties of the Extension degree -- CHAPTER THREE: HOMOTOPY GROUPS OF S[sup(1)]-MAPS -- 3.1. Trivial invariant part, the case p ≥ 1 -- 3.2. Nontrivial invariant part, the case p = 0 -- 3.3. Behavior under suspension -- 3.4. Relationship with the set of K-degrees -- 3.5. Symmetry Breaking -- CHAPTER FOUR: DEGREE OF S[sup(1)]-MAPS -- 4.1. Range of deg[sub(S1)](f -- Ω) -- 4.2. Infinite dimensional degree -- 4.3. Computation of the S[sup(1)]-degree -- 4.4. Global Continuation -- 4.5. Global Bifurcation -- CHAPTER FIVE: S[sup(1)]-INDEX OF AN ISOLATED NON-STATIONARY ORBIT AND APPLICATIONS -- 5.1. The case p ≥ 1 -- 5.2. The case p = 0 -- 5.3. p = 0, hyperbolic orbits -- 5.4. Autonomous differential equations -- 5.5. Gradient maps -- 5.6. Differential equations with fixed period -- 5.7. Differential equations with first integrals -- 5.8 Symmetry breaking for differential equations -- CHAPTER SIX: INDEX OF AN ISOLATED ORBIT OF STATIONARY SOLUTIONS AND APPLICATIONS -- 6.1. Computation of the S[sup(1)-Index -- 6.2. Application to bifurcation -- 6.3. Hopf bifurcation for autonomous differential equations -- 6.4. Hopf bifurcation for systems with first integrals -- 6.5. Hopf bifurcation and symmetry breaking -- CHAPTER SEVEN: VIRTUAL PERIODS AND ORBIT INDEX -- 7.1. Virtual periods -- 7.2. The Orbit Index -- APPENDIX: ADDITIVITY UP TO ONE SUSPENSION -- 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	_aTopological degree.
650		0	_aMappings (Mathematics).
650		0	_aHomotopy groups.
650		0	_aSphere.
655		4	_aElectronic books.
700	1		_aMassabo, Ivar.
700	1		_aVignoli, Alfonso.
776	0	8	_iPrint version: _aIze, Jorge _tDegree Theory for Equivariant Maps, the General S1-Action _dProvidence : American Mathematical Society,c1992 _z9780821825426
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114010 _zClick to View
999			_c69541 _d69541