×

Homologie effective et suites spectrales d’Eilenberg-Moore. (Effective homology and Eilenberg-Moore spectral sequences). (French) Zbl 0644.57026

The Eilenberg-Moore spectral sequence of a fibration permits to compute the homology of the fibre (resp. of the basis) when one knows the homology of the total space and of the basis (resp. of the fibre). In this note the authors describe, using effective homology, an algorithmic version of the E.M-spectral sequence. As main application, they prove that the space of geometric free loops of a simply connected simplicial set with effective homology is computable.
Reviewer: J.C.Thomas

MSC:

57T20 Homotopy groups of topological groups and homogeneous spaces
55P35 Loop spaces
57T35 Applications of Eilenberg-Moore spectral sequences
57T25 Homology and cohomology of \(H\)-spaces
PDFBibTeX XMLCite