O бикoмпaктax, лeжaщиx в -пpoизвeдeнияx
On a Corson space of Todorčević
On a dense -diagonal.
On bicompacta in -products and related spaces
On bicompacta which are unions of spaces defined by means of coverings
On bicompacta which are unions of two subspaces of a certain type
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 certain compact topological spaces.
A compact topological space K is in the class A if it is homeomorphic to a subspace H of [0,1]I, for some set of indexes I, such that, if L is the subset of H consisting of all {xi : i C I} with xi=0 except for a countable number of i's, then L is dense in H. In this paper we show that the class A of compact spaces is not stable under continuous maps. This solves a problem posed by Deville, Godefroy and Zizler.
On -chain-net spaces.
On character and chain conditions in images of products
A scadic space is a Hausdorff continuous image of a product of compact scattered spaces. We complete a theorem begun by G. Chertanov that will establish that for each scadic space X, χ(X) = w(X). A ξ-adic space is a Hausdorff continuous image of a product of compact ordinal spaces. We introduce an either-or chain condition called Property which we show is satisfied by all ξ-adic spaces. Whereas Property is productive, we show that a weaker (but more natural) Property is not productive. Polyadic...
On compact spaces which are unions of certain collections of subspaces of special type. II.
On compact spaces which are unions of certain collections of subspaces of special type
On compactness in uniform spaces
On compactness of lattices.
On compactness with respect to semi-open sets
On continuous images of Eberlein compacts
On extension of functors to the Kleisli category of some weakly normal monads
The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.
On functors from compact to Banach algebras
On games of Topsoe.
On interior monotone mappings.