A Cellular Construction of BP and Other Irreducible Spectra.
-algebras and topology of mapping tori
The paper studies applications of -algebras in geometric topology. Namely, a covariant functor from the category of mapping tori to a category of -algebras is constructed; the functor takes continuous maps between such manifolds to stable homomorphisms between the corresponding -algebras. We use this functor to develop an obstruction theory for the torus bundles of dimension , and . In conclusion, we consider two numerical examples illustrating our main results.
A lower bound for coherences on the Brown-Peterson spectrum.
A Total Whitehead Torsion Obstruction to Fibering over the Circle.
Algebraic theory of fundamental dimension [Book]
An effective criterion for the existence of a mass partition
Another note on closed -cells in
Applications de la théorie d'obstruction en dimension 3
Applications depuis et une conjecture de N. Kuhn
Dans cet article on démontre une conjecture de N. Kuhn : si la cohomologie singulière modulo un nombre premier d’un espace est finiment engendrée comme module sur l’algèbre de Steenrod, alors elle est finie. On donne aussi des formes plus fortes de ce résultat. Le second auteur en avait déjà donné une démonstration dans un article précédent. Cependant dans le cas d’un nombre premier impair la preuve comportait une lacune sans hypothèse supplémentaire sur la cohomologie de l’espace, du type de...
Äquivariante 2-Felder auf Mannigfaltigkeiten mit Involution.
Castelnuovo Curves and Unobstructed Deformations.
Characteristic classes and obstruction theory for infinite loop spaces.
Clinic obstructions and clinic cohomological groups.
Coherent prohomotopy theory
Cohomology and special extensions of groups
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 .
Deformations of Holomorphic Seifert Fiber Spaces.
Equivalences to the triangulation conjecture.
Equivariant cohomology with local coefficients
Examples of Free Involutions on Manifolds.