CONTENTS
Page
Abstract ii
Introduction v
Chapter 1, Algebraic Information 1
Introduction 1
1.1 Recollections and Notations 1
1.2 A Theorem of Massey, Peterson and Barcus 5
1.3 Methods for Calculating Exts(M,N) 8
l.U Facts Concerning the Cohomology of the Steenrod Algebra 10
Chapter 2, Adams Resolutions and Obstruction Theory 14
Introduction 14
2.1 Realization Theory 15
2.2 Homological Criterion for Lifting Maps 24
2.3 Power Spaces 26
2.4 A Homological Criterion for H-Structures 35
Chapter 3, Proof of Theorem B 39
3.1 Outline of the Argument 39
3.2 Preliminary Calculations 39
3.3 A Certain 3-Stage Postnikov System 43
3.4 Conclusion of the Proof of Theorem B 48
Chapter 4, Theorem A and Applications 61
4.1 Theorem A and Examples . . 61
4.2 Torsion and Associativity 63
4.3 Quasi-Regularity of Finite H-Spaces 65
4.4 Mod p Decompositions of F^ and Eg 66
Appendix 69
References 71
iii
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