E. Wajch

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math.GN2025

Constructing crowded Hausdorff $P$ -spaces in set theory without the axiom of choice

Eleftherios Tachtsis, Eliza Wajch

For an infinite set $X$ , a closed under finite unions family $Z$ with $[X]^{< I ¨ } \subseteq Z \subseteq P (X)$ , and any $A \subseteq P (X)$ …

math.GN2024

Characterizations of $N$ -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 $N$ -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 $ZF$ …

Constructing crowded Hausdorff P-spaces in set theory without the axiom of choice

Characterizations of N-compactness and realcompactness via ultrafilters in the absence of the axiom of choice

Quasiorders for a characterization of iso-dense spaces

Constructing crowded Hausdorff $P$ -spaces in set theory without the axiom of choice

Characterizations of $N$ -compactness and realcompactness via ultrafilters in the absence of the axiom of choice