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H-Spaces with Torsion.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1979Copyright date: ©1979Edition: 1st edDescription: 1 online resource (83 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470406271
Subject(s): Genre/Form: Additional physical formats: Print version:: H-Spaces with TorsionDDC classification:
  • 510/.8 s;514/.224
LOC classification:
  • QA612.77 -- .H37 1979eb
Online resources:
Contents:
Intro -- Contents -- Abstract -- Introduction -- Chapter 1, Algebraic Information -- Introduction -- 1.1 Recollections and Notations -- 1.2 A Theorem of Massey, Peterson and Barcus -- 1.3 Methods for Calculating Ext[sup(s)](M,N) -- 1.4 Facts Concerning the Cohomology of the Steenrod Algebra -- Chapter 2, Adams Resolutions and Obstruction Theory -- Introduction -- 2.1 Realization Theory -- 2.2 Homological Criterion for Lifting Maps -- 2.3 Power Spaces -- 2.4 A Homological Criterion for H-Structures -- Chapter 3, Proof of Theorem B -- 3.1 Outline of the Argument -- 3.2 Preliminary Calculations -- 3.3 A Certain 3-Stage Postnikov System -- 3.4 Conclusion of the Proof of Theorem B -- Chapter 4, Theorem A and Applications -- 4.1 Theorem A and Examples -- 4.2 Torsion and Associativity -- 4.3 Quasi-Regularity of Finite H-Spaces -- 4.4 Mod p Decompositions of F[sub(4)] and E[sub(8)] -- Appendix -- References.
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Intro -- Contents -- Abstract -- Introduction -- Chapter 1, Algebraic Information -- Introduction -- 1.1 Recollections and Notations -- 1.2 A Theorem of Massey, Peterson and Barcus -- 1.3 Methods for Calculating Ext[sup(s)](M,N) -- 1.4 Facts Concerning the Cohomology of the Steenrod Algebra -- Chapter 2, Adams Resolutions and Obstruction Theory -- Introduction -- 2.1 Realization Theory -- 2.2 Homological Criterion for Lifting Maps -- 2.3 Power Spaces -- 2.4 A Homological Criterion for H-Structures -- Chapter 3, Proof of Theorem B -- 3.1 Outline of the Argument -- 3.2 Preliminary Calculations -- 3.3 A Certain 3-Stage Postnikov System -- 3.4 Conclusion of the Proof of Theorem B -- Chapter 4, Theorem A and Applications -- 4.1 Theorem A and Examples -- 4.2 Torsion and Associativity -- 4.3 Quasi-Regularity of Finite H-Spaces -- 4.4 Mod p Decompositions of F[sub(4)] and E[sub(8)] -- Appendix -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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