Category weight: new ideas concerning Lusternik-Schnirelmann category
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....
Causal structures in linear spaces.
c-continuous fundamental groups
Čech cohomology and covering dimension for topological spaces
Čech extensions and localization of homotopy functors
Čech homology for movable compacta
Čech methods and the adjoint functor theorem
Čech-de Rham cohomology of a refinement of a principal bundle.
Cell-like maps, dimension and cohomological dimension: a survey
Cell-like resolutions preserving cohomological dimensions.
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 Equivalences and Schanuel's Lemma.
Chain functors with isomorphic homology.
Chain homotopy pullbacks and pushouts
Chain theories and simplicial abelian group spectra.