On the *topology and its application
On the topology generated by preopen sets
On the weight of nowhere dense subsets in compact spaces.
On topologies generated by some operators
The paper concerns topologies introduced in a topological space (X, τ) by operators which are much weaker than the lower density operators. Some properties of the family of sets having the Baire property and the family of meager sets with respect to such topologies are investigated.
On treelike neighbourhood spaces
On U-equivalence spaces
In this paper induced U-equivalence spaces are introduced and discussed. Also the notion of U- equivalently open subsets of a U-equivalence space and U-equivalently open functions are studied. Finally, equivalently uniformisable topological spaces are considered.
On --open sets and a decomposition of almost--continuity.
Operator decomposition of continuous mappings.
Operators associated to a topology over a set and related notions.