Monomial bases in the mod- Steenrod algebra
In this paper we study sets of some special monomials which form bases for the mod- Steenrod algebra .
Motivic cohomology with -coefficients
Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology
A family of multiplicative operations in the BP Steenrod algebra is defined which is related to the total Steenrod power operation from the mod p Steenrod algebra. The main result of the paper links the BP versions of the total Steenrod power with the formal group approach to multiplicative BP operations by identifying the p-typical curves (power series) which correspond to these operations. Some relations are derived from this identification, and a short proof of the Hopf invariant one theorem...
Nil-Localization of Unstable Algebras over the Steenrod Algebra.
Noetherian loop spaces
The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact group...
Nombres de Milnor d'un entrelacs Brunnien
Note on a generalization of the generalized vector field problem
Obstruction Theory in Fiber Spaces.
Obstructions for Clifford Structures on Vector Bundles.
Obstructions to Embedding and Isotopy in the Metastable Range.
Obstructions to the section problem in a fibration with a weak formal base.
Obstructions to the section problem in fibre bundles.
On a certain formula for exotic characteristic classes I.
On cat(X).
On classification of immersions of n-manifolds in (2n-1)-manifolds.
On H-spaces over a base space.
On nonformal simply-connected symplectic manifolds.
On non-realization results and conjectures of N. Kuhn
We discuss two extensions of results conjectured by Nick Kuhn about the non-realization of unstable algebras as the mod-p singular cohomology of a space, for p a prime. The first extends and refines earlier work of the second and fourth authors, using Lannes’ mapping space theorem. The second (for the prime 2) is based on an analysis of the -1 and -2 columns of the Eilenberg-Moore spectral sequence, and of the associated extension. In both cases, the statements and proofs use the relationship between...
On p-adic ?-rings and the K-theory of H-spaces.
On Postnikov pieces of finite dimension.