On decompositions of continua
On dense subspaces satisfying stronger separation axioms
We prove that it is independent of ZFC whether every Hausdorff countable space of weight less than has a dense regular subspace. Examples are given of countable Hausdorff spaces of weight which do not have dense Urysohn subspaces. We also construct an example of a countable Urysohn space, which has no dense completely Hausdorff subspace. On the other hand, we establish that every Hausdorff space of -weight less than has a dense completely Hausdorff (and hence Urysohn) subspace. We show that...
On elementary maps
On equalizers in the category of frames with weakly open homomorphisms
On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets
On functions preserving almost radiality and their relations to radial and pseudo-radial spaces
On fuzzy proper maps
On fuzzy quotient mappings.
On generalizations of Lešnev's theorem
On generalized -closed sets.
On generalized homogeneity of locally connected plane continua
The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.
On generalized whitney mappings
On hereditary and product-stable quotient maps
It is shown that the quotient maps of a monotopological construct A which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of A.
On homotopically regular mappings of manifolds
On interior monotone mappings.
On inverse limits of (2k+m+1)-disk bundle maps
On inverses of almost continuous bijections
On locally H-closed spaces and the Fomin H-closed extension
On locally s-closed spaces.
On maps: Continuous, closed, perfect, and with closed graph.