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math.GN2020
Second-countable compact Hausdorff spaces as remainders in and two new notions of infiniteness
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
In the absence of the Axiom of Choice, necessary and sufficient conditions for a locally compact Hausdorff space to have all non-empty second-countable compact Hausdorff spaces as…
math.GN2020★ 1 cited
Several amazing discoveries about compact metrizable spaces in ZF
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
In the absence of the axiom of choice, the set-theoretic status of many natural statements about metrizable compact spaces is investigated. Some of the statements are provable in $…