Frank Neumann
Quillen spectral sequences in homology and rational homotopy of cofibrations
Preprint series: Mathematica Gottingensis
55P62 Rational homotopy theory
55P30 Eckmann-Hilton duality
55T05 General
Abstract: We construct Quillen type spectral sequences in homology
and rational homotopy for cofibration sequences which are
Eckman-Hilton dual to analogous ones for fibration sequences.
These spectral sequences are constructed by direct filtrations
of the Adams cobar construction. We also prove various
collapsing theorems generalizing results of Clark and Smith
in the case of a wedge of 1-connected nicely pointed spaces.
Keywords: Rational homotopy theory, Quillen and Cartan-Serre spectral sequences
Notes: This paper has been published as:
F. Neumann: Quillen Spectral Sequences in Rational Homotopy Theory
[in: Algebraic K-Theory and its Applications, Proceedings of the Workshop
and Symposium, ICTP, Trieste 1997 (ed. H. Bass, A. O. Kuku, C. Pedrini)