A spectrum whose Z p cohomology is the algebra of reduced pth powers

Abstract

Throughout this paper all cohomology groups will have 2, coefficients unless otherwise stated. All spectra will be O-connected. We will make various constructions on spectra, for example, forming fibrations and Postnikov systems, just as one does with topological spaces. For the details of this see [6]. If one wishes, one may read “spectrum” as iv-connected topological space, iV a large integer, add N to all dimensions in sight, and read all theorems as applicable in dimensions less than 2N.