11 citations · 39 across the 16 of their papers we have counts for
6 papers · 1 filter
Toda brackets and cup-one squares for ring spectra
Hans-Joachim Baues, Fernando Muro
In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cup-one square in the homotopy groups of a commutative con…
Third Mac Lane cohomology
H. -J. Baues, M. Jibladze, T. Pirashvili
Based on the computation of the third author we obtain an interpretation of the third Mac Lane cohomology of rings using certain kind of crossed extensions of rings in the quadrati…
Smash products for secondary homotopy groups
Hans-Joachim Baues, Fernando Muro
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and…
The symmetric action on secondary homotopy groups
Hans-Joachim Baues, Fernando Muro
We show that the symmetric track group, which is an extension of the symmetric group associated to the second Stiefel- Withney class, acts as a crossed module on the secondary homo…
Secondary homotopy groups
Hans-Joachim Baues, Fernando Muro
Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences,…
Quadratic algebra of square groups
H. -J. Baues, M. Jibladze, T. Pirashvili
There is a long-standing problem of algebra to extend the symmetric monoidal structure of abelian groups, given by the tensor product, to a non abelian setting. In this paper we sh…