On categories of supertopological spaces
On categories over the closed categories of fuzzy sets
On Classes And Universes
On concrete categories [Book]
On concrete functors in uniform spaces
On congruence lattices in a category
On deductive varieties of locally convex 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 envelopes in a certain category of ordered topological vector spaces
On equalizers in generalized algebraic categories
On essential ring embeddings and the epimorphic hull of .
On extended frames
Some aspects of extended frames are studied, namely, the behaviour of ideals, covers, admissible systems of covers and uniformities.
On extensions of full embeddings and binding categories
On functors which are lax epimorphisms.
On fuzzification of the notion of quantaloid
The paper considers a fuzzification of the notion of quantaloid of K. I. Rosenthal, which replaces enrichment in the category of -semilattices with that in the category of modules over a given unital commutative quantale. The resulting structures are called quantale algebroids. We show that their constitute a monadic category and prove a representation theorem for them using the notion of nucleus adjusted for our needs. We also characterize the lattice of nuclei on a free quantale algebroid. At...
On generalized Hom-functors of certain symmetric monoidal categories
On generic separable objects.
On hereditary and product-stable quotient maps
It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.