A Cellular Construction of BP and Other Irreducible Spectra.
A conjecture on the unstable Adams spectral sequences for SO and U
We give a systematic account of a conjecture suggested by Mark Mahowald on the unstable Adams spectral sequences for the groups SO and U. The conjecture is related to a conjecture of Bousfield on a splitting of the E₂-term and to an algebraic spectral sequence constructed by Bousfield and Davis. We construct and realize topologically a chain complex which is conjectured to contain in its differential the structure of the unstable Adams spectral sequence for SO. A filtration of this chain complex...
A Generalized Mean-Value Theorem.
A product involving the -family in stable homotopy theory.
A propos de conjectures de Serre et Sullivan.
A Spectral Sequence Concerning the Double Suspension.
A suspension spectral sequence for vn-periodic homotopy groups.
Algebraic theory of stacks
An algebraic model for homotopy fibers.
An example of a fiber in fibrations whose Serre spectral sequences collapse
We give an example of a space with the property that every orientable fibration with the fiber is rationally totally non-cohomologous to zero, while there exists a nontrivial derivation of the rational cohomology of of negative degree.
Application de la suite spectrale d’Hodgkin au calcul de la -théorie des variétés de Stiefel