Title: Multiplicative structures on spectral sequences I

Authors: Daniel Dugger

AMS Math. Subj. Class. 55T05

Department of Mathematics, University of Oregon, Eugene, OR 97403
email: ddugger@math.uoregon.edu

Abstract:

This is mostly an expository paper, recording basic facts about towers
of homotopy fiber sequences.  We show that a pairing of towers induces
an associated pairing of spectral sequences, for towers of spaces and
towers of spectra.  In the hope that this might eventually be a
useful reference for people, feel free to send me suggestions for
things that should be improved (with the understanding that it might
be a while before I get around to implementing them).