Global structure of the mod two symmetric algebra, over the Steenrod Algebra.
Groups with cyclic Sylow subgroups and finiteness conditions for certain complexes.
Higher order operations in Deligne cohomology.
Higher Order Twisted Cohomology Operations.
Hindernisse in dem Produkt von Suspensionen.
Homological computations in the universal Steenrod algebra
We study the (bigraded) homology of the universal Steenrod algebra Q over the prime field ₂, and we compute the groups , s ≥ 0, using some ideas and techniques of Koszul algebras developed by S. Priddy in [5], although we presently do not know whether or not Q is a Koszul algebra. We also provide an explicit formula for the coalgebra structure of the diagonal homology and show that D⁎(Q) is isomorphic to the coalgebra of invariants Γ introduced by W. Singer in [6].
Homology Comodules.
Homology exponents for -spaces.
Homology Operations in the Eilenberg-Moore Spectral Sequence.
Homomorphic images and rationalizations based on the Eilenberg-MacLane spaces
Are there any kinds of self maps on the loop structure whose induced homomorphic images are the Lie brackets in tensor algebra? We will give an answer to this question by defining a self map of , and then by computing efficiently some self maps. We also study the topological rationalization properties of the suspension of the Eilenberg-MacLane spaces. These results will be playing a powerful role in the computation of the same -type problems and giving us an information about the rational homotopy...
Hopf algebra structure on topological Hochschild homology.
Hopf Structures on Stiefel Manifolds.
Indecomposable A-module summands in H* V which are unstable algebras.
Induced mappings of homology decompositions
We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces which are compatible with the homology sections and dual Postnikov invariants. Several applications of this result are obtained. We show how the homotopy type of the (n+1)st homology section depends on the homotopy type of the nth homology section and the (n+1)st homology group. We prove that all homology sections of a co-H-space are co-H-spaces, all n-equivalences of the homology decomposition are...
Injective comodules and Landweber exact homology theories
We classify the indecomposable injective E(n)⁎E(n)-comodules, where E(n) is the Johnson-Wilson homology theory. They are suspensions of the , where 0 ≤ r ≤ n, with the endomorphism ring of being , where denotes the completion of E(r).
Intersection homology operations.
Isoparametric Hypersurfaces with Four or Six Distinct Principal Curvatures. Necessary Conditions on the Multiplicities.
k-Invariants of knotted 2-spheres.
K-Theory Operations in Mod p Loop Spaces.
La conjecture de Sullivan