Higher fundamental functors for simplicial sets
Hochschild cohomology of complex spaces and Noetherian schemes.
Hodge decomposition for higher order Hochschild homology
Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
Homology fibrations and “group-completion” revisited.
Homology groups and eight-term exact sequences
Homology groups of semicubical sets.
Homology of weighted simplicial complexes
Homology stability for unitary groups.
Homotopy Colimit of Quasi-join Diagrams
Homotopy Inverses for Nerve.
Homotopy theory for (braided) cat-groups
Injective models of -disconnected simplicial sets
We generalize the results by G.V. Triantafillou and B. Fine on -disconnected simplicial sets. An existence of an injective minimal model for a complete -algebra is presented, for any -category . We then make use of the -category associated with a -simplicial set to apply these results to the category of -simplicial sets.Finally, we describe the rational homotopy type of a nilpotent -simplicial set by means of its injective minimal model.
Lower central series, augmentation quotients and homology of groups.
Minimal finite models.
Minimal resolutions and other minimal models.
In many situations, minimal models are used as representatives of homotopy types. In this paper we state this fact as an equivalence of categories. This equivalence follows from an axiomatic definition of minimal objects. We see that this definition includes examples such as minimal resolutions of Eilenberg-Nakayama-Tate, minimal fiber spaces of Kan and Λ-minimal Λ-extensions of Halperin. For the first one, this is done by generalizing the construction of minimal resolutions of modules to complexes....
Model structures for homotopy of internal categories.
Morita Equivalences of Functor Categories and Decompositions of Functors Defined on a Category Associated to Algebras with One-Side Units
Conditions which imply Morita equivalences of functor categories are described. As an application a Dold-Kan type theorem for functors defined on a category associated to associative algebras with one-side units is proved.
Normal functors and strong protomodularity.
Normalidad en realizaciones generalizadas (RY (X)).