Cohomology operations and applications in homotopy theory Dover publications inc (Dover Publications Inc.)

Preface1. Introduction to cohomology operations2. Construction of the Steenrod squares3. Properties of the squares4. Application: the Hopf invariant5. Application: vector fields on spheres6. The Steenrod algebra7. Exact couples and spectral sequences8. Fibre spaces9. Cohomology of K(pi, n)10. Classes of Abelian groups11. More about fiber spaces12. Applications: some homotopy groups of spheres13. N-Type and Postnikov systems14. Mapping sequences and homotopy classification15. Properties of the stable range16. Higher cohomology operations17. Compositions in the stable homotopy of spheres18. The Adams spectral sequenceBibliographyIndex