Preliminaries Stable homotopy over a Hopf algebra Basic properties of the Steenrod algebra Chromatic structure Computing Ext with elements inverted Quillen stratification and nilpotence Periodicity and other applications of the nilpotence theorems Appendix A. An underlying model…
Introduction The $\Delta$-theorem Some field theory over the Steenrod Algebra The integral closure theorem and the unstable part The inseparable closure The embedding theorem I Noetherianess, the embedding theorem II and Turkish delights The Galois embedding theorem, the little …
Formulae for the action of the Steenrod algebra on the mod 2 cohomology of a finite [italic]H-space are calculated. These formulae imply that the first nonvanishing homotopy group for a finite [italic]H-space occurs in degrees 1, 3, 7, or 15. The Steenrod algebra structure also …
