On a construct of closure spaces
On a generalized small-object argument for the injective subcategory problem
On categories of supertopological spaces
On complete Saks spaces
On envelopes in a certain category of ordered topological vector spaces
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 functors of finite degree and -metrizable bicompact spaces.
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.
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.
On Limit Permanence of Projectivity and Ingectivity
On Priestley duals of products
On pushing out frames
On the category of topological topologies
On the co-completeness of the category of Hausdorff uniform spaces.
On the construction of the extensional topological hull
On the exact completion of the homotopy category
On the geometric bar construction and the Brown representability theorem
On the pullback stability of a quotient map with respect to a closure operator.