On projection measurability of functions and multifunctions
On projection of nonseparable Souslin and Borel sets along separable spaces
On projectively quotient functors
We introduce notions of projectively quotient, open, and closed functors. We give sufficient conditions for a functor to be projectively quotient. In particular, any finitary normal functor is projectively quotient. We prove that the sufficient conditions obtained are necessary for an arbitrary subfunctor of the functor of probability measures. At the same time, any “good” functor is neither projectively open nor projectively closed.
On projectiveness in H-closed spaces
On properties of approximate fibrations. I.
On properties preserved by the approximate domination
On proximities generated by countable families of entourages
It is shown that any proximity that is generated by a countable family of entourages is sequential. Metrization theorems for proximities are derived.
On proximity ordered spaces
On pseudocompact, countably compact, locally bicompact mappings, and -mappings.
On pseudocompactness and related notions in ZF
We study in ZF and in the class of spaces the web of implications/ non-implications between the notions of pseudocompactness, light compactness, countable compactness and some of their ZFC equivalents.
On pseudo-open mappings
On pseudo-radial spaces
On pseudo-sequence-covering pi images of locally separable metric spaces
On pseudo-sequence-covering -images of locally separable metric spaces.
On PSigma and Weakly PSigma Spaces
On pushing out frames
On quasi -open and quasi -closed functions.
On quasi-components
On quasicontinuity of multifunctions
On quasicontinuous and cliquish functions