On functors of finite degree and -metrizable bicompact spaces.
On games of Topsoe.
On Hausdorff compactifications of non-locally compact spaces.
On Hausdorff Quotients of Spaces and Magill's Theorem.
On hereditary normality of , Kunen points and character
We show that is not normal, if is a limit point of some countable subset of , consisting of points of character . Moreover, such a point is a Kunen point and a super Kunen point.
On matrix points in Čech--Stone compactifications of discrete spaces
We prove the existence of -matrix points among uniform and regular points of Čech–Stone compactification of uncountable discrete spaces and discuss some properties of these points.
On non-normality points and metrizable crowded spaces
is non-normal for any metrizable crowded space and an arbitrary point .
On non-normality points, Tychonoff products and Suslin number
Let a space be Tychonoff product of -many Tychonoff nonsingle point spaces . Let Suslin number of be strictly less than the cofinality of . Then we show that every point of remainder is a non-normality point of its Čech–Stone compactification . In particular, this is true if is either or and a cardinal is infinite and not countably cofinal.
On non-separable 0-dimensional metrizable spaces
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 paracompact uniform spaces
On Priestley duals of products
On prime ideals of
On remote points, non-normality and -weight
We show, in particular, that every remote point of is a nonnormality point of if is a locally compact Lindelöf separable space without isolated points and .
On separation of lattices.
On some problems in
On Stone extensions of homotopic maps
On strict and simple type extensions.