Some properties of g- and P-spaces
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with c.c.c. is given. A P−space with c.c.c. is countable and discrete.
Some properties related to [a,b]-compactness
Some results on expansions for normal and completely normal spaces.
Some results on inverse spectra. I.
Some results on inverse spectra. II.
Some topological consequences of the Product Measure Extension Axiom
Some types of points in
Spaces in which a bound on cardinality implies discreteness
Spaces with large star cardinal number
In this paper, we prove the following statements: (1) For any cardinal , there exists a Tychonoff star-Lindelöf space such that . (2) There is a Tychonoff discretely star-Lindelöf space such that does not exist. (3) For any cardinal , there exists a Tychonoff pseudocompact -starcompact space such that .
Spaces with zero set bases
Special almost P-spaces
Motivated by some examples, we introduce the concept of special almost P-space and show, using the reflection principle, that for every space of this kind the inequality “" holds.
Strong decomposability of ultrafilters on cardinals with countable cofinality
Strongly summable ultrafilters on N and small maximal subgroups of ßN.
Sum theorems for the tightness and -character in the class of compact spaces