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math.GN2021
Countable products and countable sums of compact metrizable spaces in the absence of the Axiom of Choice
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
The main aim of the article is to show, in the absence of the Axiom of Choice, relationships between the following, independent of , statements: "Every countable produ…
math.GN2021
On Urysohn's Lemma for generalized topological spaces in ZF
Jacek Hejduk, Eliza Wajch
A strong generalized topological space is an ordered pair such that is a set and is a collection of subsets of such…
math.GN2021★ 1 cited
On iso-dense and scattered spaces in
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
A topological space is iso-dense if it has a dense set of isolated points. A topological space is scattered if each of its non-empty subspaces has an isolated point. In $\mathbf{ZF…