On Priestley duals of products
On prime ideals of
On products of pseudoradial ѕpaces
On products of semi-dynamical systems
On projectiveness in H-closed spaces
On properties preserved by the approximate domination
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-radial spaces
On pseudo-sequence-covering pi images of locally separable metric spaces
On PSigma and Weakly PSigma Spaces
On pushing out frames
On -spaces
On R-compact spaces
On regular and sigma-smooth two valued measures and lattice generated topologies.
On relative -starLindelöfness.
On relatively almost countably compact subsets
A subset of a space is almost countably compact in if for every countable cover of by open subsets of , there exists a finite subfamily of such that . In this paper we investigate the relationship between almost countably compact spaces and relatively almost countably compact subsets, and also study various properties of relatively almost countably compact subsets.
On relatively almost Lindelöf subsets
A subspace of a space is almost Lindelöf (strongly almost Lindelöf) in if for every open cover of (of by open subsets of ), there exists a countable subset of such that . In this paper we investigate the relationships between relatively almost Lindelöf subset and relatively strongly almost Lindelöf subset by giving some examples, and also study various properties of relatively almost Lindelöf subsets and relatively strongly almost Lindelöf subsets.
On remote points, non-normality and -weight
We show, in particular, that every remote point of is a nonnormality point of if is a locally compact Lindelöf separable space without isolated points and .
On resolvable spaces and groups
It is proved that every uncountable -bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.