000			04060nam a22004813i 4500
001			EBC3113868
003			MiAaPQ
005			20240729124553.0
006			m o d |
007			cr cnu||||||||
008			240724s1985 xx o ||||0 eng d
020			_a9781470407308 _q(electronic bk.)
020			_z9780821823194
035			_a(MiAaPQ)EBC3113868
035			_a(Au-PeEL)EBL3113868
035			_a(CaPaEBR)ebr10918821
035			_a(OCoLC)922981503
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA169 -- .B376 1985eb
082	0		_a512/.55
100	1		_aBarnes, D.
245	1	0	_aSpectral Sequence Constructors in Algebra and Topology.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1985.
264		4	_c©1985.
300			_a1 online resource (187 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.53
505	0		_aIntro -- CONTENTS -- PREFACE -- I. MODULES OVER HOPE ALGEBRAS -- 1. Hopf Algebras -- 2. Groups -- 3. Lie Algebras -- 4. Modules -- 5. Homology and Cohomology -- II. CUP PRODUCTS -- 1. Introduction -- 2. Relatively Injective Modules -- 3. Relatively Injective Resolutions -- 4. General Resolutions -- III. SPECTRAL SEQUENCE CONSTRUCTORS -- 1. Introduction -- 2. Comparison of Spectral Sequence Constructors -- 3. Cup Products -- IV. FILTRATIONS ON THE NORMALISED STANDARD COMPLEX -- 1. Introduction -- 2. Comparison of the Filtrations -- 3. Calculation of the E[sub(1)]-term -- 4. Lie Algebras -- 5. The Adams Spectral Sequence -- V. DOUBLE PROJECTIVE RESOLUTIONS -- 1. The Construction -- 2. Calculation of the E[sub(1)]-term -- 3. Cup Products -- VI. PAIR OF RESOLUTIONS -- 1. Introduction -- 2. The Coinduced Resolution -- 3. Cup Products -- VII. REPEATED INJECTIVE RESOLUTIONS -- 1. The Grothendieck Construction -- 2. Repeated Coinduced Resolutions -- VIII. EXPLICIT EQUIVALENCES -- 1. Survey of Spectral Sequence Constructors -- 2. Transformation B → A* -- 3. Transformation C → A* -- 4. Transformation B → C -- IX. ACYCLIC MODELS -- 1. Free Functors -- 2. Chain Complexes -- 3 . Filtered Chain Complexes -- 4. The Uniqueness Theorem -- X. COFREE FUNCTORS -- 1. Free Functors Reformulated -- 2. Cofree Functors -- 3. Right Derived Functors -- 4. Filtered Cochain Complexes -- 5. The Uniqueness Theorem -- XI. LOCAL COEFFICIENTS -- 1. Homology with Local Coefficients -- 2. The Uniqueness Theorem -- 3. Homomorphisms -- XII. THE SPECTRAL SEQUENCE OF A FIBRATION -- 1. Introduction -- 2. The Classifying Space of a Group -- 3. Fibrations -- 4. Calculation of the E[sup(2)]-term -- 5. Other Constructions -- XIII. UNIQUENESS OF THE FIBRATION SPECTRAL SEQUENCE -- 1. The Fibration Spectral Sequence Constructor Axioms -- 2. The E[sup(1)][sub(*0)] Axiom.
505	8		_a3. The Comparison Theorem -- 4. The uniqueness Theorem -- XIV. SHEAF COHOMOLOGY -- 1. Sheaves -- 2. Change of Base -- 3. Sheaf Cohomology -- 4. Locally Constant Sheaves -- 5. The Leray Spectral Sequence -- APPENDIX. LIFTING FUNCTIONS -- REFERENCES -- INDEX -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- P -- Q -- R -- S -- T -- U -- V.
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	_aFunctor theory.
650		0	_aSpectral sequences (Mathematics).
650		0	_aHopf algebras.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBarnes, D. _tSpectral Sequence Constructors in Algebra and Topology _dProvidence : American Mathematical Society,c1985 _z9780821823194
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113868 _zClick to View
999			_c69399 _d69399