On uniform spaces
On uniform spaces with linearly ordered bases II (-metric spaces)
On upper and lower -continuous multifunctions.
On weak forms of preopen and preclosed functions
In this paper we introduce two classes of functions called weakly preopen and weakly preclosed functions as generalization of weak openness and weak closedness due to [26] and [27] respectively. We obtain their characterizations, their basic properties and their relationshisps with other types of functions between topological spaces.
On weakly closed functions
On weakly -continuous functions
On weak-open compact images of metric spaces.
On weak-open -images of metric spaces
In this paper, we give some characterizations of metric spaces under weak-open -mappings, which prove that a space is -developable (or Cauchy) if and only if it is a weak-open -image of a metric space.
On --open sets and a decomposition of almost--continuity.
On --open sets.
On -generalized closed sets.
On -images of separable metric spaces and a problem of Shou Lin
On -metrizable spaces, their continuous images and products
A space is said to be -metrizable if it has a -discrete -base. The behavior of -metrizable spaces under certain types of mappings is studied. In particular we characterize strongly -separable spaces as those which are the image of a -metrizable space under a perfect mapping. Each Tychonoff space can be represented as the image of a -metrizable space under an open continuous mapping. A question posed by Arhangel’skii regarding if a -metrizable topological group must be metrizable receives...
On --images of metric spaces.
On -closed sets and their topology.
Open and closed mappings and compactification
Open and proper maps between convergence spaces
Open, confluent and related mappings on generalized graphs
Open images of orderable spaces
Open mapping theorems for capacities
For the functor of upper semicontinuous capacities in the category of compact Hausdorff spaces and two of its subfunctors, we prove open mapping theorems. These are counterparts of the open mapping theorem for the probability measure functor proved by Ditor and Eifler.