Homotopy theory of simplicial abelian Hopf algebras (Q1295693)

The first part, more an abstract, of the paper examines the considered homotopy theory proving that two very different notions of weak equivalence yield the same homotopy category: respectively with graded homotopy groups and using derived categories like in Dieudonné theory of modules. The second part proves a splitting result for the Postnikov tower of simplicial abelian Hopf algebras showing that the homotopy groups support a very rich and rigid structure.