On normal lattices and separation and semi-separation of lattices.
On normal lattices and Wallman spaces.
On normality and countable paracompactness
On nowhere first-countable compact spaces with countable -weight
The minimum weight of a nowhere first-countable compact space of countable -weight is shown to be , the least cardinal for which the real line can be covered by many nowhere dense sets.
On one-point -compactification and local - compactness
On open maps and related functions over the Salbany compactification
Given a topological space , let and denote, respectively, the Salbany compactification of and the compactification map called the Salbany map of . For every continuous function , there is a continuous function , called the Salbany lift of , satisfying . If a continuous function has a stably compact codomain , then there is a Salbany extension of , not necessarily unique, such that . In this paper, we give a condition on a space such that its Salbany map is open. In particular,...
On order locally finite and closure-preserving covers
On -paracompact spaces.
On -closed spaces.
On -sequential -compact spaces
It is shown that a space is -Weakly Fréchet-Urysohn for iff it is -Weakly Fréchet-Urysohn for arbitrary , where is the -th left power of and for . We also prove that for -compact spaces, -sequentiality and the property of being a -Weakly Fréchet-Urysohn space with , are equivalent; consequently if is -compact and , then is -sequential iff is -sequential (Boldjiev and Malyhin gave, for each -point , an example of a compact space which is -Fréchet-Urysohn and it is...
On and weakly- spaces.
On Pairwise Lindelöf Spaces.
On pairwise semi and pairwise semi bitopological spaces
On paracompact locales and metric locales
On paracompact uniform spaces
On Paracompactness and Almost Closed Mappings
On paracompactness in uniform spaces
On Pervin's example concerning the connected-open topology.
On plane topologies with high sequential order
On point-countable collections and monotonic properties