O бикoмпaктax, лeжaщиx в -пpoизвeдeнияx
On a cardinal invariant resembling the Souslin number
On a certain lattice of topologies on a product of metric spaces
On a condition for the pseudo radiality of a product
A sufficient condition for the pseudo radiality of the product of two compact Hausdorff spaces is given.
On a Michael's conjecture concerning the Lindelöf property in the Cartesian products
On a problem of Nogura about the product of Fréchet-Urysohn -spaces
Assuming Martin’s Axiom, we provide an example of two Fréchet-Urysohn -spaces, whose product is a non-Fréchet-Urysohn -space. This gives a consistent negative answer to a question raised by T. Nogura.
On a problem of S. Ulam concerning Cartesian squares of 2-dimensional polyhedra
On a product of metric spaces
On bicompacta in -products and related spaces
On bitopological local compactness
On certain constructions in finitistic spaces.
On cliquish functions on product spaces
On clopen sets in Cartesian products
The results concern clopen sets in products of topological spaces. It is shown that a clopen subset of the product of two separable metrizable (or locally compact) spaces is not always a union of clopen boxes. It is also proved that any clopen subset of the product of two spaces, one of which is compact, can always be represented as a union of clopen boxes.
On closed and inductively closed images of products of metric spaces
On complemented copies of c₀(ω₁) in C(Kⁿ) spaces
Given a compact Hausdorff space K we consider the Banach space of real continuous functions C(Kⁿ) or equivalently the n-fold injective tensor product or the Banach space of vector valued continuous functions C(K,C(K,C(K...,C(K)...). We address the question of the existence of complemented copies of c₀(ω₁) in under the hypothesis that C(K) contains such a copy. This is related to the results of E. Saab and P. Saab that contains a complemented copy of c₀ if one of the infinite-dimensional Banach...
On continuous images of almost Tychonoff cubes
On continuous maps in closure spaces.
On deductive varieties of locally convex spaces
On dyadic spaces and almost Milyutin spaces
On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets