-spaces and the Wallman compactification.
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
Tensor products of topological ringoids
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 commuting of coreflectors in uniform spaces with completion
The coproduct of totally convex spaces
The extensive completion of a distributive category.
The free adjunction
The Geometry of Self-adjunction
The Heyting doctrines
The Linton theorem revisited
The reflectiveness of covering morphisms in algebra and geometry.
The shape of a category up to directed homotopy.
The theory of core algebras: its completeness.
Théories algébriques et extension de préfaisceaux
Topological categories with both epireflective and coreflective proper subcategories
Topologically-algebraic structure functors full reflective or coreflective restrictions of semitopological functors
Torsion Theories in Non-Additive Categories.
Totality of product completions
Categories whose Yoneda embedding has a left adjoint are known as total categories and are characterized by a strong cocompleteness property. We introduce the notion of multitotal category by asking the Yoneda embedding to be right multiadjoint and prove that this property is equivalent to totality of the formal product completion of . We also characterize multitotal categories with various types of generators; in particular, the existence of dense generators is inherited by the formal product...