Eilenberg-Mac Lane Spectra
Eilenberg-Mac Lane Spectra
Let K(ZV) be the Eilenberg-Mac Lane spectrum with homotopy Z" and let A = H*(K(Z"); Z")-the mod/» Steenrod algebra.Let A' be a locally finite spectrum.It is proven that \K(ZV), X] -* HomA(H*(X; Z"), A) is an isomorphism.It is also proven that there is a unique decomposition X"=(© K(ZV))® Y where …