Rigidity Properties of Compact Lie Groups Modulo Maximal Tori.
Small models for chain algebras.
Some applications of Coincidence theory.
Some examples of vector fields on the 3-sphere
Let denote the set of points with modulus one in euclidean 4-space ; and let denote the space of nonsingular vector fields on with the topology. Under what conditions are two elements from homotopic ? There are several examples of nonsingular vector fields on . However, they are all homotopic to the tangent fields of the fibrations of due to H. Hopf (there are two such classes).We construct some new examples of vector fields which can be classified geometrically. Each of these examples...
Some Non-Linear Equivariant Sphere Bundles
Some partial formulae for Stiefel-Whitney classes of Grassmannians
Some Pontrjagin Rings. II.
Some remarks on Koszul algebras and quantum groups
The category of quadratic algebras is endowed with a tensor structure. This allows us to construct a class of Hopf algebras studied recently under the name of quantum (semi) groups.
Some results on the real K-theory of certain homogeneus spaces.
Let Fr(n) be the incomplete complex flag manifold of length r in Cn. We make a start on the complete determination of the torsion part of the group KO-i(Fr(n)) giving results here when r = 2, 3.
Spaces and equations
It is proved, for various spaces A, such as a surface of genus 2, a figure-eight, or a sphere of dimension ≠ 1,3,7, and for any set Σ of equations, that Σ cannot be modeled by continuous operations on A unless Σ is undemanding (a form of triviality that is defined in the paper).
Stable real cohomology of arithmetic groups
Steenrod Operations in the Eilenberg-Moore Spectral Sequence.
Structure of the group of homeomorphisms preserving a good measure on a compact manifold
Sur la cohomologie continue des groupes localement compacts
Sur l'homologie de l'espace des lacets d'une variété compacte
Sur l'homologie de SL... a coefficients dans l'action adjointe.
The ℤ₂-cohomology cup-length of real flag manifolds
Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any , q ≥ 3. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong’s approach used for calculations in the ℤ₂-cohomology algebra of the Grassmann manifolds.
The Bar Spectral Sequence converging to h*(SO(2n+1)).
The Burnside Ring of a Cyclic Extension of a Torus.
The Cohomology of the Morava Stabilizer Algebras.