Normalidad en realizaciones generalizadas (RY (X)).
Normalisation for the fundamental crossed complex of a simplicial set.
Normalizing the cyclic modules of Connes.
Note on homology and cohomology with -coefficients
Note on homotopy pullbacks in abelian categories
Note on normal sequences of chain complexes
Note on projective modules.
Note sur la détermination des homologies par les carrés exacts
Objets algébriquement clos et injectifs dans les catégories localement présentables
Obstructions for deformations of complexes
We develop two approaches to obstruction theory for deformations of derived isomorphism classes of complexes of modules for a profinite group over a complete local Noetherian ring of positive residue characteristic.
Octahedra and braids
Oka manifolds: From Oka to Stein and back
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989.In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent characterizations...
Omega-categories and chain complexes.
On 0-homology of categorical at zero semigroups
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.
On a Class of 2-Periodic Cohomology Theories.
On a generalized small-object argument for the injective subcategory problem
On a homology of algebras with unit
We present a very general construction of a chain complex for an arbitrary (even non-associative and non-commutative) algebra with unit and with any topology over a field with a suitable topology. We prove that for the algebra of smooth functions on a smooth manifold with the weak topology the homology vector spaces of this chain complex coincide with the classical singular homology groups of the manifold with real coefficients. We also show that for an associative and commutative algebra with unit...
On a sequence of K. A. Hardie
On algebraic models for homotopy 3-types.
On Arens-Michael algebras which do not have non-zero injective ⨶-modules
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.