Geodesic
On the homotopy category of Moore spaces and the cohomology of the category of abelian groups
Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 265-289.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-150-3-265-289

Hans-Joachim Baues 1 ; Manfred Hartl 1

1 
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Hans-Joachim  Baues; Manfred Hartl. On the homotopy category of Moore spaces and the cohomology of the category of abelian groups. Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 265-289. doi : 10.4064/fm-150-3-265-289. http://geodesic.mathdoc.fr/articles/10.4064/fm-150-3-265-289/

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