On Hausdorff operators in ZF$\mathsf {ZF}$

DOI10.1002/malq.202300004OpenAlexW4385219292MaRDI QIDQ6096806

Kyriakos Keremedis, Eleftherios Tachtsis

Publication date: 15 September 2023

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.202300004

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

Cites Work

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• Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality \(\aleph_0\)
• Cellularity of infinite Hausdorff spaces in \textbf{ZF}
• Power problems in abstract spaces
• Some Weak Forms of the Axiom of Choice Restricted to the Real Line
• On the Existence of Free Ultrafilters on ω and on Russell-sets in ZF
• Remarks on the Stone Spaces of the Integers and the Reals without AC
• Countable Compact Scattered T₂Spaces and Weak Forms of AC
• Countable compact Hausdorff spaces need not be metrizable in ZF
• Geordnete Läuchli Kontinuen
• Adding dependent choice
• The axiom of choice for linearly ordered families
• Versions of Normality and Some Weak Forms of the Axiom of Choice
• Choice principles for special subsets of the real line
• The Urysohn Lemma is independent of ZF + Countable Choice
• Some applications of the notions of forcing and generic sets
• The independence of the axiom of choice from the Boolean prime ideal theorem
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• Sur les opérations linéaires dans l'espace des fonctions bornées
• Séparabilité et multiplication cartésienne des espaces topologiques
• A remark on density characters
• The axiom of choice

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