Cochain operations and subspace arrangements.
Coherent prohomotopy theory
Cohomology Algebras with Two Generators.
Cohomology and special extensions of groups
Cohomology -algebra and rational homotopy type
In the rational cohomology of a 1-connected space a structure of -algebra is constructed and it is shown that this object determines the rational homotopy type.
Cohomology of unipotent algebraic and finite groups and the Steenrod algebra.
Cohomology operations and the Deligne conjecture
The aim of this note, which raises more questions than it answers, is to study natural operations acting on the cohomology of various types of algebras. It contains a lot of very surprising partial results and examples.
Cohomology Operations Derived from Modular Invariants.
Cohomology operations in the K-theory of the classical groups
Commutative algebra of unstable K-modules, Lannes' T-functor and equivariant mod-p cohomology.
Computation of cohomology operations on finite simplicial complexes.
Computing Adams operations on the Burnside ring of a finite group.
Computing the abelian heap of unpointed stable homotopy classes of maps
An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed in another paper [5] of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty.
Connected covers and Neisendorfer's localization theorem
Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann category...
Connected Morava K-Theories.
Constructing manifolds by homotopy equivalences I. An obstruction to constructing PL-manifolds from homology manifolds
We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .
Cores of spaces, spectra, and ring spectra.
Corrigendum et addendum ad: “Minimal cell coverings of sphere bundles over spheres”
Corrigendum to: “On ".
Coverings of fibrations