Chern Classes and Groups with Periodic Cohomology.
Classes of pairs which are supports for a homology theory
Coarse topology, enlargeability, and essentialness
Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-trivially both to the rational homology of their fundamental groups and to the -theory of the corresponding reduced -algebras. Our proofs do not depend on the Baum–Connes conjecture and provide independent confirmation for specific predictions derived from this conjecture.
Cohomología 3D y visualización.
Cohomology and Morse theory for strongly indefinite functionals.
Cohomology of the Lagrange complex
Cohomology of the Yang-Mills gauge orbit space and dimensional reduction
Combinatoire des simplexes sans singularités I. Le cas différentiable
On définit le bicomplexe , extension naturelle du complexe engendré par un ensemble simplicial . Ceci permet de définir la notion de ruban de base un cycle de . La somme directe de l’homologie des colonnes de contient, outre l’homologie de , des groupes dans lesquels se trouvent les obstructions à l’existence de rubans. Si est un sous-ensemble simplicial, stable par subdivision, de l’ensemble des simplexes singuliers d’un espace topologique, l’existence de rubans entraîne l’invariance...
Complements of sets of unstable points
Complex arrangements and derivations.
Cubical approximation and computation of homology
The purpose of this article is to introduce a method for computing the homology groups of cellular complexes composed of cubes. We will pay attention to issues of storage and efficiency in performing computations on large complexes which will be required in applications to the computation of the Conley index. The algorithm used in the homology computations is based on a local reduction procedure, and we give a subquadratic estimate of its computational complexity. This estimate is rigorous in two...