50 citations · 231 across the 36 of their papers we have counts for
8 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…
On K_1 of a Waldhausen category
Fernando Muro, Andrew Tonks
We give a simple representation of all elements in K_1 of a Waldhausen category and prove relations between these representatives which hold in K_1.
The algebra of secondary homotopy operations in ring spectra
Hans-Joachim Baues, Fernando Muro
The primary algebraic model of a ring spectrum is the ring of homotopy groups. We introduce the secondary model which has the structure of a secondary analogue of a ring. This new…
On the proper homotopy type of locally compact A^2_n-polyhedra
Fernando Muro
In this paper we address the classification problem for locally compact (n-1)-connected CW-complexes with dimension less or equal than n+2 up to proper homotopy type. We obtain com…
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…