H-Spaces with Torsion.
Harper, John R.
H-Spaces with Torsion. - 1st ed. - 1 online resource (83 pages) - Memoirs of the American Mathematical Society ; v.22 . - Memoirs of the American Mathematical Society .
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.
9781470406271
H-spaces.
Obstruction theory.
Torsion theory (Algebra).
Electronic books.
QA612.77 -- .H37 1979eb
510/.8 s;514/.224
H-Spaces with Torsion. - 1st ed. - 1 online resource (83 pages) - Memoirs of the American Mathematical Society ; v.22 . - Memoirs of the American Mathematical Society .
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.
9781470406271
H-spaces.
Obstruction theory.
Torsion theory (Algebra).
Electronic books.
QA612.77 -- .H37 1979eb
510/.8 s;514/.224