On the notion of precohomology
On the object-wise tensor product of functors to modules.
On the representability of actions in a semi-abelian category.
On the structure of locally finite pure semisimple Grothendieck categories
On three types of simplicial objects
On weak -homotopy equivalences of modules
Si definisce il gruppo di —omotopia di un singolo modulo e si introduce la nozione di equivalenza -omotopica debole. Sotto determinate condizioni per l'anello di base oppure per i moduli considerati, le equivalenze -omotopiche deboli coincidono con le equivalenze -omotopiche (forti).
On weak monomorphisms and weak epimorphisms in the category of pro-groups.
In this paper we characterize weak monomorphisms and weak epimorphisms in the category of pro-groups. Also we define the notion of weakly exact sequence and we study this notion in the category of pro-groups.
One-sided Gorenstein subcategories
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory of an abelian category , and prove that the right Gorenstein subcategory is closed under extensions, kernels of epimorphisms, direct summands and finite direct sums. When is self-orthogonal, we give a characterization for objects in , and prove that any object in with finite -projective dimension is isomorphic to a kernel (or a cokernel) of a morphism from an object in with finite -projective dimension...
Opérations sur l'homologie cyclique des algèbres commutatives.
Orientations and multiplicative structures of resolutions.
Oriented singular homology.
Parity complexes
Parity complexes : corrigenda
Patterns in knot cohomology. I.
Periodic maps on Poincaré duality spaces.
Permutation modules and projective resolutions.
Poincaré duality and commutative differential graded algebras
We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
Pojective exterior Koszul homology and decomposititon of the Tor fonctor.
Principal homogeneous objects as representable functors
Produit tensoriel du groupe d'Heisenberg