Normal neighborhood spaces
Normal subspaces in products of two ordinals
Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of .
Normality and Martin's axiom
Normality and paracompactness in finite and countable Cartesian products
Normality and paracompactness in subsets of product spaces
Normality and paracompactness of Pixley-Roy hyperspaces
Normality in function spaces
Normality of product spaces
Null-families of subsets of monotonically normal compacta
On a construction of perfectly normal spaces and its applications to dimension theory
On a dense -diagonal.
On a Question of Ljubiša Kočinac
On a theorem of Jones and Heath concerning separable normal spaces
On almost and weak forms of continuity of functions and multifunctions
On bitopological local compactness
On butterfly-points in , Tychonoff products and weak Lindelöf numbers
Let be the Tychonoff product of -many Tychonoff non-single point spaces . Let be a point in the closure of some whose weak Lindelöf number is strictly less than the cofinality of . Then we show that is not normal. Under some additional assumptions, is a butterfly-point in . In particular, this is true if either or and is infinite and not countably cofinal.
On collectionwise normality
On completely regular spaces
On continuous images of almost Tychonoff cubes
On dense subspaces satisfying stronger separation axioms
We prove that it is independent of ZFC whether every Hausdorff countable space of weight less than has a dense regular subspace. Examples are given of countable Hausdorff spaces of weight which do not have dense Urysohn subspaces. We also construct an example of a countable Urysohn space, which has no dense completely Hausdorff subspace. On the other hand, we establish that every Hausdorff space of -weight less than has a dense completely Hausdorff (and hence Urysohn) subspace. We show that...