TY - BOOK AU - Harper,John R. TI - H-Spaces with Torsion T2 - Memoirs of the American Mathematical Society SN - 9781470406271 AV - QA612.77 -- .H37 1979eb U1 - 510/.8 s;514/.224 PY - 1979/// CY - Providence PB - American Mathematical Society KW - H-spaces KW - Obstruction theory KW - Torsion theory (Algebra) KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113637 ER -