Errata to the paper “On paracompact locales and metric locales”
Erratum: ``A note on mappings of Baire spaces' (Math. Slovaca 27 (1977), no. 2, 173--176)
Essentially Complete T...-Spaces.
Extremally disconnected resolutions of -spaces
Fine topologies as examples of non-Blumberg Baire spaces
Fréchet property in compact spaces is not preserved by -equivalence
An example of two -equivalent (hence -equivalent) compact spaces is presented, one of which is Fréchet and the other is not.
Fuzzy -closure operator on fuzzy topological spaces.
Lattice normality and outer measures.
Locally realcompact and HN-complete spaces
Two classes of spaces are studied, namely locally realcompact spaces and HN-complete spaces, where the latter class is introduced in the paper. Both of these classes are superclasses of the class of realcompact spaces. Invariance with respect to subspaces and products of these spaces are investigated. It is shown that these two classes can be characterized by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures...
Maximal pseudocompact spaces and the Preiss-Simon property
We study maximal pseudocompact spaces calling them also MP-spaces. We show that the product of a maximal pseudocompact space and a countable compact space is maximal pseudocompact. If X is hereditarily maximal pseudocompact then X × Y is hereditarily maximal pseudocompact for any first countable compact space Y. It turns out that hereditary maximal pseudocompactness coincides with the Preiss-Simon property in countably compact spaces. In compact spaces, hereditary MP-property is invariant under...
Measure-Theoretic Characterizations of Certain Topological Properties
It is shown that Čech completeness, ultracompleteness and local compactness can be defined by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and realcompact spaces.
On a congruence for the number of finite marked topologies
On almost quasicontinuous functions
A function is said to be almost quasicontinuous at if for each neighbourhood of . Some properties of these functions are investigated.
On Almost-Tractable Spaces I
On almost-tractable spaces I.
On compact spaces which are unions of certain collections of subspaces of special type
On continuous images of almost Tychonoff cubes
On -sequentially regular spaces
On Frolík’s characterization of class
On Inverse Limit Of Function Spaces