Finitary fibrations
Foncteurs d'omission de structures algébriques
Freckle refinement of uniform spaces
Homotopic pullbacks, Lax pullbacks, and exponentiability
Introduction à l'analyse algébrique
Le groupe des métamorphoses d'une catégorie, un exemple
Leibniz Rule
Localization for Hausdorff uniform bundles.
Mehrfache Partialisierung von Kategorien
Model theoretic approach to topological functors
Modular dynamical systems on networks
We propose a new framework for the study of continuous time dynamical systems on networks. We view such dynamical systems as collections of interacting control systems. We show that a class of maps between graphs called graph fibrations give rise to maps between dynamical systems on networks. This allows us to produce conjugacy between dynamical systems out of combinatorial data. In particular we show that surjective graph fibrations lead to synchrony subspaces in networks. The injective graph fibrations,...
Monomorphisms in the category of small connected categories with surjective functors
Note on Demi-Topological Functors.
Note on homomorphism interpolation theorem
On associated and attached prime ideals of certain modules
Primary and secondary functors have been introduced in [2] and applied to extend some results concerning asymptotic prime ideals. In this paper, the theory of primary and secondary functors is developed and examples of non-exact primary and non-exact secondary functors are presented. Also, as an application, the sets of associated and of attached prime ideals of certain modules are determined.
On concrete functors in uniform spaces
On descriptive classification of set-functors. I.
On descriptive classification of set-functors. II.
On dual Ramsey theorems for relational structures
We discuss dual Ramsey statements for several classes of finite relational structures (such as finite linearly ordered graphs, finite linearly ordered metric spaces and finite posets with a linear extension) and conclude the paper with another rendering of the Nešetřil-Rödl Theorem for relational structures. Instead of embeddings which are crucial for ``direct'' Ramsey results, for each class of structures under consideration we propose a special class of quotient maps and prove a dual Ramsey theorem...
On pure quotients and pure subobjects
In the theory of accessible categories, pure subobjects, i.e. filtered colimits of split monomorphisms, play an important role. Here we investigate pure quotients, i.e., filtered colimits of split epimorphisms. For example, in abelian, finitely accessible categories, these are precisely the cokernels of pure subobjects, and pure subobjects are precisely the kernels of pure quotients.