On complete Saks spaces
On concrete categories [Book]
On descriptive classification of set-functors. I.
On descriptive classification of set-functors. II.
On distributive homological algebra, I. RE-categories
On distributive homological algebra, II. Theories and models
On distributive homological algebra. III. Homological theories
On envelopes in a certain category of ordered topological vector spaces
On epics and dominions of bands.
On equalizers in generalized algebraic categories
On equalizers in the category of frames with weakly open homomorphisms
On essential ring embeddings and the epimorphic hull of .
On extension of functors
A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.
On extensions of full embeddings and binding categories
On extensions of functors to the Kleisli category
On full embeddings of categories of algebras into categories of functors with thin domain (Preliminary communication)
On full embeddings of concrete categories with respect to forgetful functors
On functors of finite degree and -metrizable bicompact spaces.
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 topological spaces II
This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.