This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are ap…
This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[b…
It is shown that a 2-connected homotopy commutative H-space with associative mod 2 homology ring and finitely generated mod 2 cohomology ring has acyclic mod 2 cohomology. This implies that a connected, homotopy commutative, homotopy associative H-space with finitely generated m…
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 …