xvi Contents Chapter 36. Classes of Spaces 759 §36.1. A Galois Correspondence in Homotopy Theory 760 §36.2. Strong Resolving Classes 761 §36.3. Closed Classes and Fibrations 764 §36.4. The Calculus of Closed Classes 767 Chapter 37. Miller’s Theorem 773 §37.1. Reduction to Odd Spheres 774 §37.2. Modules over the Steenrod Algebra 777 §37.3. Massey-Peterson Towers 780 §37.4. Extensions and Consequences of Miller’s Theorem 785 Appendix A. Some Algebra 789 §A.1. Modules, Algebras and Tensor Products 789 §A.2. Exact Sequences 794 §A.3. Graded Algebra 795 §A.4. Chain Complexes and Algebraic Homology 798 §A.5. Some Homological Algebra 799 §A.6. Hopf Algebras 803 §A.7. Symmetric Polynomials 806 §A.8. Sums, Products and Maps of Finite Type 807 §A.9. Ordinal Numbers 808 Bibliography 811 Index of Notation 821 Index 823
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