Note on universal topological completion
Note sur topologie exponentielle
Notes on monotone Lindelöf property
We provide a necessary and sufficient condition under which a generalized ordered topological product (GOTP) of two GO-spaces is monotonically Lindelöf.
Notes on quotient maps
Notes on the topologies and uniformities of hyperspaces
Null-families of subsets of monotonically normal compacta
Numerical invariants of 0-dimensional spaces and their Cartesian multiplication.
O бикoмпaктax, лeжaщиx в -пpoизвeдeнияx
Obtaining inverse sequences for certain continua
On a cardinal invariant resembling the Souslin number
On a certain lattice of topologies on a product of metric spaces
On a compactification of the homeomorphism group of the pseudo-arc
A continuum means a compact connected metric space. For a continuum X, H(X) denotes the space of all homeomorphisms of X with the compact-open topology. It is well known that H(X) is a completely metrizable, separable topological group. J. Kennedy [8] considered a compactification of H(X) and studied its properties when X has various types of homogeneity. In this paper we are concerned with the compactification of the homeomorphism group of the pseudo-arc P, which is obtained by the method of...
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 construct of closure spaces
On a fuzzy topological structure
On a generalized small-object argument for the injective subcategory problem
On a method of constructing ANR-sets. An application of inverse limits
On a metrization of the hyperspace of a metric space
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.