Modular, distributive and simple intervals of the lattice of topologies
More reflections on compactness
We consider the question of when , where is the elementary submodel topology on X ∩ M, especially in the case when is compact.
Neighborhood spaces.
New characterizations of regular open sets, semi-regular sets, and extremally disconnectedness
Non-homeomorphic density topologies
Non-regularity of some topologies on stronger than the standard one.
Norm and pointwise topologies need not be binormal.
Normal spaces and the Lusin-Menchoff property
We study the relation between the Lusin-Menchoff property and the -“semiseparation” property of a fine topology in normal spaces. Three examples of normal topological spaces having the -“semiseparation” property without the Lusin-Menchoff property are given. A positive result is obtained in the countable compact space.
Note on connections of the point of continuity property and Kuratowski problem on function having the Baire property
Note on initial topologies on rational vector spaces induced by revalued linear mappings.
On 3-topological version of -regularity.
On a certain lattice of topologies on a product of metric spaces
On a product of metric spaces
On a property of the one-dimensional torus
On -open setes.
On cardinalities of row spaces of Boolean matrices.
On c-closed functions
On c-continuous fundamental groups
On co-lc topologies
On countable families of sets without the Baire property
We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (ℝⁿ,τ), where n is an integer ≥ 1 and τ is any admissible extension of the Euclidean topology of ℝⁿ (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family ℱ of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of ℱ does not have the Baire property in X.