Adjungierte Dreiecke, Colimites und Kan-Erweiterungen.
Aggregation operators on partially ordered sets and their categorical foundations
In spite of increasing studies and investigations in the field of aggregation operators, there are two fundamental problems remaining unsolved: aggregation of -fuzzy set-theoretic notions and their justification. In order to solve these problems, we will formulate aggregation operators and their special types on partially ordered sets with universal bounds, and introduce their categories. Furthermore, we will show that there exists a strong connection between the category of aggregation operators...
Algebraic model structures.
Algebraically closed and existentially closed substructures in categorical context.
Algebras over theories
Algèbre catégorique relative. II: Limites relatives.
Algèbre catégorique relative. III. Foncteurs adjoints relatifs.
Algèbres graphiques (suites : Les bidules)
Algèbres graphiques (sur un concept de dimension dans les langages formels)
Algébricité, monadicité, esquissabilité et non-algébricité
Almost abelian categories
An anabelian definition of abelian homology
An approach to a dual of regular closure operators
An example concerning set-functors
An Introduction to Adjunction
Analytic functors and weak pullbacks.
Any equivalence relation over a category is a simplicial
Applications of the induced morphism theorem in regular categories
Approche polygraphique des -catégories non strictes
Archimedean frames, revisited
This paper extends the notion of an archimedean frame to frames which are not necessarily algebraic. The new notion is called joinfitness and is Choice-free. Assuming the Axiom of Choice and for compact normal algebraic frames, the new and the old coincide. There is a subfunctor from the category of compact normal frames with skeletal maps with joinfit values, which is almost a coreflection. Conditions making it so are briefly discussed. The concept of an infinitesimal element arises naturally,...