On the homotopy category of Moore spaces and the cohomology of the category of abelian groups
Volume 150 / 1996
Fundamenta Mathematicae 150 (1996), 265-289
DOI: 10.4064/fm-150-3-265-289
Abstract
The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.
