On normality and countable paracompactness
On order locally finite and closure-preserving covers
On -paracompact spaces.
On -closed spaces.
On Pairwise Lindelöf Spaces.
On paracompact uniform spaces
On Paracompactness and Almost Closed Mappings
On paracompactness in uniform spaces
On point-countable collections and monotonic properties
On powers of Lindelöf spaces
We present a forcing construction of a Hausdorff zero-dimensional Lindelöf space whose square is again Lindelöf but its cube has a closed discrete subspace of size , hence the Lindelöf degree . In our model the Continuum Hypothesis holds true. After that we give a description of a forcing notion to get a space such that for all positive integers , but .
On Preservation Of Normality.
On products of pseudoradial ѕpaces
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 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.
On -closedness and -closedness in topological spaces
On -cluster sets and -closed spaces.
On set tightness and -tightness
On some classes of compact spaces lying in -products