Resumen de An effective study of serre spectral systems

Andrea Guidolin , Ana Romero Ibáñez

• In this paper we use the technique of effective homology to compute spectral systems, a generalization of classical spectral sequences which are defined for filtrations indexed over any partially ordered set (poset). In particular, we focus our study on the Serre spectral system associated with a tower of fibrations, showing some considerations on the different levels of this spectral system and computing some results by means of a new module for the Kenzo computer algebra system.