-catégories (catégories dans un triple)
-spaces and the Wallman compactification.
Taylor towers for -modules
We consider Taylor approximation for functors from the small category of finite pointed sets to modules and give an explicit description for the homology of the layers of the Taylor tower. These layers are shown to be fibrant objects in a suitable closed model category structure. Explicit calculations are presented in characteristic zero including an application to higher order Hochschild homology. A spectral sequence for the homology of the homotopy fibres of this approximation is provided.
Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Techniques de construction et théorèmes d'existence en géométrie algébrique III : préschémas quotients
Teisi in .
Tensor Products of Operator Categories.
Tensor products of topological ringoids
The 3-by-3 lemma for regular Goursat categories.
The categories of presheaves containing any category of algebras [Book]
The category of compactifications and its coreflections
We define “the category of compactifications”, which is denoted CM, and consider its family of coreflections, denoted corCM. We show that corCM is a complete lattice with bottom the identity and top an interpretation of the Čech–Stone . A corCM implies the assignment to each locally compact, noncompact a compactification minimum for membership in the “object-range” of . We describe the minimum proper compactifications of locally compact, noncompact spaces, show that these generate the atoms...
The category of nonindexed algebras and weak homomorphisms
The category of opetopes and the category of opetopic sets.
The category of uniform spaces as a completion of the category of metric spaces
A criterion for the existence of an initial completion of a concrete category universal w.r.tḟinite products and subobjects is presented. For metric spaces and uniformly continuous maps this completion is the category of uniform spaces.
The closure of a model category
The colimits in the generalized algebraic categories
The commuting of coreflectors in uniform spaces with completion
The coproduct of totally convex spaces
The epis of
The epis of the category of ordered algebras and -continuous homomorphisms