Resumen de A generalization of effective Serre spectral systems for m-multicomplexes

Daniel Miguel Treviño, Andrea Guidolin , Ana Romero Ibáñez , Julio Rubio

• In a previous study, we gave an algorithm to construct a spectral system from a tower of fibrations of simplicial sets, which encompasses all the information provided by the successive Serre spectral sequences of each fibration. The spectral system was builtover generalized multicomplexes that come from the associated chain complexes of the simplicial sets. In this work we show that a similar spectral system can be constructed over a broader class of multicomplexes, and that we have effective homology for it.