Concept
Catégorie homotopique des complexes de chaînes
Publications associées (13)
Why H Z-algebra Spectra are Differential Graded Algebras?
In homological algebra, to understand commutative rings R, one studies R-modules, chain complexes of R-modules and their monoids, the differential graded R-algebras. The category of R-modules has a rich structure, but too rigid to efficiently work with hom ...
2010Twisting structures and strongly homotopy morphisms
In an application of the notion of twisting structures introduced by Hess and Lack, we define twisted composition products of symmetric sequences of chain complexes that are degreewise projective and finitely generated. Let Q be a cooperad and let BP be th ...
2010Bar constructions and Quillen homology of modules over operads
We show that topological Quillen homology of algebras and modules over operads in symmetric spectra can be calculated by realizations of simplicial bar constructions. Working with several model category structures, we give a homotopical proof after showing ...
2010