On Michael's problem concerning the Lindelöf property in the Cartesian products
On minimal Hausdorff and minimal Urysohn functions
In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
On minimal strongly KC-spaces
In this article we introduce the notion of strongly -spaces, that is, those spaces in which countably compact subsets are closed. We find they have good properties. We prove that a space is maximal countably compact if and only if it is minimal strongly , and apply this result to study some properties of minimal strongly -spaces, some of which are not possessed by minimal -spaces. We also give a positive answer to a question proposed by O. T. Alas and R. G. Wilson, who asked whether every...
On minimal--spaces
An -space is a topological space in which the topology is generated by the family of all -sets (see [N]). In this paper, minimal--spaces (where denotes several separation axioms) are investigated. Some new characterizations of -spaces are also obtained.
On monotone Lindelöfness of countable spaces
A space is monotonically Lindelöf (mL) if one can assign to every open cover a countable open refinement so that refines whenever refines . We show that some countable spaces are not mL, and that, assuming CH, there are countable mL spaces that are not second countable.
On multisequences and their application to products of sequential spaces
On -in-countable bases
Some results concerning spaces with countably weakly uniform bases are generalized for spaces with -in-countable ones.
On N. Noble's theorems concerning powers of spaces and mappings
On nearly paracompact spaces
On Nearly Paracompact Spaces
On Nearly Paracompact Spaces and Nearly Full Normality
On Nearly Paracompact Spaces via Regular Even Covers
On nearly strongly paracompact and almost-strongly paracompact spaces.
On nearly strongly paracompact spaces.
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 normal lattices and separation and semi-separation of lattices.
On normal lattices and Wallman spaces.
On normality and countable paracompactness