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 .
Normal Vietoris implies compactness: a short proof
One of the most celebrated results in the theory of hyperspaces says that if the Vietoris topology on the family of all nonempty closed subsets of a given space is normal, then the space is compact (Ivanova-Keesling-Velichko). The known proofs use cardinality arguments and are long. In this paper we present a short proof using known results concerning Hausdorff uniformities.
Normality and hereditary countable paracompactness of Pixley-Roy hyperspaces
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
Not all dyadic spaces are supercompact
Note on a Compactification Due to Nielsen and Sloyer.
Note on countable unions of Corson countably compact spaces
We show that a compact space has a dense set of points if it can be covered by countably many Corson countably compact spaces. If these Corson countably compact spaces may be chosen to be dense in , then is even Corson.
Notes on characterization of paracompact frames
Notes on Fréchet spaces.
Notes on Kuratowski-Mrówka theorems in point-free context
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 strongly Whyburn spaces
We introduce the notion of a strongly Whyburn space, and show that a space is strongly Whyburn if and only if is Whyburn. We also show that if is Whyburn for any Whyburn space , then is discrete.
Notion de compacité et quasi-topologie
Null-families of subsets of monotonically normal compacta