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.
On Postnikov-true families of complexes and the Adams completion
On Sectioning multiples of vector bundles and more general homomorphism bundles.
On the Connes operator in Hochschild homology.
On the De Rham Invariant of a Fibered (4r + l)-Dimensional Orientable Manifold.
On the Detection of Some Elements in the Image of the Double Transfer Using K(2)-Theory.
On the Extension of Certain Maps with Values in Spheres
Let E be an oriented, smooth and closed m-dimensional manifold with m ≥ 2 and V ⊂ E an oriented, connected, smooth and closed (m-2)-dimensional submanifold which is homologous to zero in E. Let be the standard inclusion, where Sⁿ is the n-sphere and n ≥ 3. We prove the following extension result: if is a smooth map, then h extends to a smooth map g: E → Sⁿ transverse to and with . Using this result, we give a new and simpler proof of a theorem of Carlos Biasi related to the ambiental bordism...
On the fundamental group of a space of sections.