Multiplicative structures on homotopy spectral sequences I, II
Abstract for part I:
This paper records some basic facts about towers of homotopy fiber sequences and their associated spectral sequences. We give a proof that a pairing of towers induces a pairing of spectral sequences, for towers of spaces and towers of spectra.
Abstract for part II:
This sequel to the above paper works through the construction of pairings for several standard spectral sequences used in algebraic topology.