On two classes of paracompact spaces
On unified theory for continuities.
On uniform paracompactness
On weaker forms of compactness, Lindelöfness, and countable compactness.
On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces
We introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x ∈ X} which is finitely generated by a countable family satisfying (F) which consists of families each Noetherian of ω-rank, then X is metaLindelöf as well as a countable product of them. We also prove that if W satisfies ω-rank (F) and, for every x ∈ X, W(x) is of the form W 0(x) ∪ W 1(x), where W 0(x) is Noetherian and W 1(x) consists of neighbourhoods of...
On weakly closed functions
On weakly monotonically monolithic spaces
In this note, we introduce the concept of weakly monotonically monolithic spaces, and show that every weakly monotonically monolithic space is a -space. Thus most known conclusions on -spaces can be obtained by this conclusion. As a corollary, we have that if a regular space is sequential and has a point-countable -network then is a -space.
On (X, p)- spaces
On -continuous selections of small multifunctions and covering properties
The spaces for which each -continuous function can be extended to a -small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.
On -regular spaces.
On κ-Lindelöf spaces
We use the Hausdorff pseudocharacter to bound the cardinality and the Lindelöf degree of κ-Lindelöf Hausdorff spaces.
On σ-discrete coverings consisting of connected sets
On Σ-products of Σ-spaces
One folkloristic lemma on cardinal reflections in Unif
Open covers and infinitary operations in -rings
Pairwise weakly regular-Lindelöf spaces.
Paracompacité et espaces uniformes
Paracompact box products in forcing extensions
Paracompactness and the Lindelöf property in finite and countable cartesian products
Paracompactness in box products