On bicompacta in -products and related spaces
On binary coproducts of frames
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
On bitopological local compactness
On bouquets
On categories of supertopological spaces
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 compact spaces which are locally Cantor bundles
On compact spaces which are unions of certain collections of subspaces of special type
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 complexity of metric spaces
On connectivity properties of bitopological hyperspaces
On connectivity properties of hyperspaces of spaces
On continuous images of almost Tychonoff cubes
On continuous maps in closure spaces.
On ℳ-contractibility
On convex metric spaces V
On D-connected sets in the space