Cat as a closed model category
Catégorie homotopique stable d’un site suspendu avec intervalle
Cet article présente la construction de la catégorie homotopique stable d’un site suspendu avec intervalle arbitraire. La fonctorialité de cette construction est étudiée, avec des applications à la théorie homotopique des schémas introduite par F. Morel et V. Voevodsky.
Catégories, complexes et homotopie
Classifying spaces of categories and term rewriting.
Cochain operations and subspace arrangements.
Coherent prohomotopical algebra
Coherent prohomotopy theory
Colimits for the pro-category of towers of simplicial sets
Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)
Conditions For A Realization Functor To Commute With Finite Products.
Connected sequences of stable derived functors and their applications [Book]
Contractible simplicial objects
We raise the question of when a simplicial object in a catetgory is deemed contractible. The literature offers three definitions. One is the existence of an “extra degeneracy”, indexed by , which does not quite live up to the name. This can be strengthened to a “strong extra degeneracy". Another possibility is that it be homotopic to a constant simplicial object. Despite claims in the literature to the contrary, we show that all three are distinct concepts with strong extra degeneracy implies extra...
Crossed squares and 2-crossed modules of commutative algebras.
Cubical sets and their site.
Cyclic homology, a survey