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math.GN2024
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…
math.GN2024
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 …