The Kervaire invariant of immersions.
The multiplicative structure of K(n)* (BA4).
Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA4) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA4;Z/2) are also discussed.
The non-criticality of certain families of affine varieties.
The order of the Hopf bundle on projective Stiefel manifolds
The Primitive Elements in MU* K(Z/p, 1).
The real K-ring of some CW-complexes of small dimension
The S1-CW decomposition of the geometric realization of a cyclic set
We show that the geometric realization of a cyclic set has a natural, -equivariant, cellular decomposition. As an application, we give another proof of a well-known isomorphism between cyclic homology of a cyclic space and -equivariant Borel homology of its geometric realization.
The sigma orientation for analytic circle-equivariant elliptic cohomology.
The ...-Spectrum for Brown-Peterson Cohomology. Part I
The Spectrum of Equivariant K-theory.
The Splitting of Künneth Sequence for Generalized Cohomology.
The structure of semitopological monoids defined on compact connected 3-manifolds.
The Tangent Space at a special symplectic instanton bunle on P2n+1.
The Tate spectrum of vn-periodic complex oriented theories.
The total Chern class is not a map of multiplicative cohomology theories.
The universal right K-property for some interpolation spaces
The Vietoris system in strong shape and strong homology
We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology.
The whitehead theorem in the proper category
Théorèmes de dualité pour les faisceaux algébriques cohérents
Théories cohomologiques.