Holdings: The homology of Hopf spaces

The homology of Hopf spaces:

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Bibliographic Details
Main Author:	Kane, Richard M. (Author)
Format:	Book
Language:	English
Published:	Amsterdam u.a. North-Holland 1988
Series:	North-Holland mathematical library 40
Subjects:	H-Espaces Homologie H-spaces Homology theory Hopf-Raum
Online Access:	Inhaltsverzeichnis
Physical Description:	XV, 479 S.
ISBN:	0444704647

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MARC


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adam_text	xiti TABLE OF CONTENTS PAGE PART I: HOPF ALGEBRAS 51 Hopf Algebras 3 52 Decomposi tions of Hopf Algebras 16 53 Covering Spaces 23 §4 Polncare and S Dual i ty 29 PART II: CLASSIFYING SPACES 55 Loop Spaces and Classifying Spaces 39 56 A Spaces 47 57 The Cohomology of Classifying Spaces 58 §8 The Rational Cohomology of Loop Spaces 64 PART III: LOCALIZATION 59 Localization 71 510 Localization and H spaces 80 PART IV: THE BOCKSTEIN SPECTRAL SEQUENCE 511 The Bockstein Spectral Sequence 93 512 Implications and the Bockstein Spectral Sequence 96 513 Differential Hopf Algebras 107 514 Morava K Theory 115 PART V: THE PRO.IECTIVE PLANE 515 The Projective Plane 123 516 Steenrod Squares and Truncated Polynomial Algebras 128 517 Steenrod Squares and Primitively Generated Cohomology 134 518 K theory and Torsion Free H spaces 139 519 Homotopy Commutative H spaces 142 x iv Table of Contents PART VI: REFLECTION GROUPS AND CLASSIFYING SPACES §20 Reflection Groups and Invariant Theory 147 §21 Real Reflection Groups 153 §22 Complex and p adic Reflection Groups 159 §23 Mod p Reflection Groups 166 §24 Rings of Invariants as the Cohomology of Classifying Spaces 171 §25 Algebraic Closures 177 §26 Inseparable Extensions 187 §27 Galois Theory 192 §28 Classifying Spaces with Torsion 199 PART VII: SECONDARY OPERATIONS §29 The Ei lenberg Moore Spectral Sequence 207 §30 Secondary Cohomology Operations 215 §31 H spaces with Primitively Generated Cohomology 226 §32 Secondary Operations for Quotients 232 PART VIII: THE MODULE OF INDECOHPOSABLES QH(X;F ) p ODD P §33 The Use of Secondary Operations 245 §34 The Structure of QeVenH(X;F ): Part 1 251 §35 The Structure of QH(X;IF ) 256 §36 The Structure of QeVenH(X;F ): Part II 263 PART IX: THE MODULE OF INDECOMPOSABLES QH(X:F2) §37 The Use of Secondary Operations: p = 2 269 §38 Structure Theorems for QevenH(X;F ) 277 §39 Structure Theorems for QevenH(X;F2) 288 §40 Implications in Morava K Theory 300 §41 Q^VfXiFg) and Secondary Operations 320 §42 Q^H^XiFg) and the c Invariant 335 PART X: K THEORY §43 The Homology of HX 353 §44 K theory 359 Table of Contents xv PART XI: THE HOPF ALGEBRA H(X;F ) §45 The Algebra H*(X;F ) 373 §46 Homotopy Associative H spaces 380 §47 U(M) Algebras 390 PART XII: POWER SPACES §48 Power Spaces 407 §49 Alterations of H space Structures 414 §50 H spaces with Torsion 425 §51 H spaces of Low Rank 433 APPENDICES Appendix A: Hod p Cohomology of Lie Groups 439 Appendix B: Steenrod Operations 445 Appendix C: Brown Peterson Theory 447 References 449 Index 475
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spelling	Kane, Richard M. Verfasser aut The homology of Hopf spaces Richard M. Kane Amsterdam u.a. North-Holland 1988 XV, 479 S. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematical library 40 H-Espaces ram Homologie ram H-spaces Homology theory Hopf-Raum (DE-588)4160649-8 gnd rswk-swf Homologie (DE-588)4141951-0 gnd rswk-swf Hopf-Raum (DE-588)4160649-8 s Homologie (DE-588)4141951-0 s DE-604 North-Holland mathematical library 40 (DE-604)BV000005206 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000531418&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kane, Richard M. The homology of Hopf spaces North-Holland mathematical library H-Espaces ram Homologie ram H-spaces Homology theory Hopf-Raum (DE-588)4160649-8 gnd Homologie (DE-588)4141951-0 gnd
subject_GND	(DE-588)4160649-8 (DE-588)4141951-0
title	The homology of Hopf spaces
title_auth	The homology of Hopf spaces
title_exact_search	The homology of Hopf spaces
title_full	The homology of Hopf spaces Richard M. Kane
title_fullStr	The homology of Hopf spaces Richard M. Kane
title_full_unstemmed	The homology of Hopf spaces Richard M. Kane
title_short	The homology of Hopf spaces
title_sort	the homology of hopf spaces
topic	H-Espaces ram Homologie ram H-spaces Homology theory Hopf-Raum (DE-588)4160649-8 gnd Homologie (DE-588)4141951-0 gnd
topic_facet	H-Espaces Homologie H-spaces Homology theory Hopf-Raum
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