Calculus III: Taylor Series.
Cancellation and non-cancellation amongst products of spherical fibrations.
Cancellation Properties of H-Spaces
Cat as a closed model category
Categorical strong shape theory
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
Categories equivalent to the category of rational H-spaces.
Categories of components and loop-free categories.
Category with a natural cone
Generally, in homotopy theory a cylinder object (or, its dual, a path object) is used to define homotopy between morphisms, and a cone object is used to build exact sequences of homotopy groups. Here, an axiomatic theory based on a cone functor is given. Suspension objects are associated to based objects and cofibrations, obtaining homotopy groups referred to an object and relative to a cofibration, respectively. Exact sequences of these groups are built. Algebraic and particular examples are given....
Čech extensions and localization of homotopy functors
Čech homology for movable compacta
Čech methods and the adjoint functor theorem
Cellular covers of cotorsion-free modules
In this paper we improve recent results dealing with cellular covers of R-modules. Cellular covers (sometimes called colocalizations) come up in the context of homotopical localization of topological spaces. They are related to idempotent cotriples, idempotent comonads or coreflectors in category theory. Recall that a homomorphism of R-modules π: G → H is called a cellular cover over H if π induces an isomorphism , where π⁎(φ) = πφ for each (where maps are acting on the left). On the one hand,...
Centers and finite coverings of finite loop spaces.
Central Adams operators.
Certain continua in with homeomorphic complements have the same shape
Chain Complexes and Assembly.
Chain homotopy pullbacks and pushouts
Chain theories and simplicial abelian group spectra.