23 citations · 41 across the 20 of their papers we have counts for
23 papers
Constructing crowded Hausdorff -spaces in set theory without the axiom of choice
Eleftherios Tachtsis, Eliza Wajch
For an infinite set , a closed under finite unions family with , and any ,…
Characterizations of -compactness and realcompactness via ultrafilters in the absence of the axiom of choice
AliReza Olfati, Eliza Wajch
This article concerns the Herrlich-Chew theorem stating that a Hausdorff zero-dimensional space is -compact if and only if every clopen ultrafilter with the countable i…
Quasiorders for a characterization of iso-dense spaces
Tom Richmond, Eliza Wajch
A (generalized) topological space is called an iso-dense space if the set of all its isolated points is dense in the space. The main aim of the article is to show in …
A quasi-metrization theorem for hybrid topologies on the real line
Tom Richmond, Eliza Wajch
Hybrid topologies on the real line have been studied by various authors. Among the hybrid spaces, there are also Hattori spaces. However, some of the hybrid spaces are not homeomor…
-compact extensions in the absence of the Axiom of Choice
AliReza Olfati, Eliza Wajch
The main aim of this work is to show, in the absence of the Axiom of Choice, fundamental results on -compact extensions of -completely regular spaces, in pa…
-spaces in the absence of the Axiom of Choice
Kyriakos Keremedis, AliReza Olfati, Eliza Wajch
A -space is a topological space whose every -set is open. In this article, basic properties of -spaces are investigated in the absence of the Axiom of Choice. New weaker…