Naturality of f-separation axioms
Neighborhoods of the identity of the free abelian topological groups
New proofs of classical insertion theorems
We provide new proofs for the classical insertion theorems of Dowker and Michael. The proofs are geometric in nature and highlight the connection with the preservation of normality in products. Both proofs follow directly from the Katětov-Tong insertion theorem and we also discuss a proof of this.
Non-normality and relative normality of Niemytzki plane
Non-normality points and nice spaces
J. Terasawa in " are non-normal for non-discrete spaces " (2007) and the author in “On non-normality points and metrizable crowded spaces” (2007), independently showed for any metrizable crowded space that each point of its Čech–Stone remainder is a non-normality point of . We introduce a new class of spaces, named nice spaces, which contains both of Sorgenfrey line and every metrizable crowded space. We obtain the result above for every nice space.
Norm and pointwise topologies need not be binormal.
Normal k'-spaces are consistently collectionwise normal
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