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 foundations of Topology
On the functor of order-preserving functionals
We introduce a functor of order-preserving functionals which contains some known functors as subfunctors. It is shown that this functor is weakly normal and generates a monad.
On the pullback stability of a quotient map with respect to a closure operator.
On the quantification of uniform properties
Approach spaces ([4], [5]) turned out to be a natural setting for the quantification of topological properties. Thus a measure of compactness for approach spaces generalizing the well-known Kuratowski measure of non-compactness for metric spaces was defined ([3]). This article shows that approach uniformities (introduced in [6]) have the same advantage with respect to uniform concepts: they allow a nice quantification of uniform properties, such as total boundedness and completeness.
On the simplicity of some categories of closure spaces
On uniform connection properties
On uniform spaces
One more remark on reflections
Openly factorizable spaces and compact extensions of topological semigroups
We prove that the semigroup operation of a topological semigroup extends to a continuous semigroup operation on its Stone-Čech compactification provided is a pseudocompact openly factorizable space, which means that each map to a second countable space can be written as the composition of an open map onto a second countable space and a map . We present a spectral characterization of openly factorizable spaces and establish some properties of such spaces.
Ordered spaces and quasi-uniformities on spaces of continuous order-preserving functions.
In this paper we introduce and investigate the notions of point open order topology, compact open order topology, the order topology of quasi-uniform pointwise convergence and the order topology of quasi-uniform convergence on compacta. We consider the functorial correspondence between function spaces in the categories of topological spaces, bitopological spaces and ordered topological spaces. We obtain extensions to the topological ordered case of classical topological results on function spaces....
Ordinal invariants and epimorphisms in some categories of weak Hausdorff spaces
Perfect maps are exponentiable - categorically.
Presheaves over the sets which need not be well ordered, functional separation of their inductive limits and their representation by sections
Probabilistic convergence spaces and generalized metric spaces.
Probability measure functors preserving infinite-dimensional spaces