Spaces of countable free set number and PFA

DOI10.1090/proc/16248OpenAlexW4322625423MaRDI QIDQ5880258

István Juhász, Alan Dow

Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00356

zbMATH Keywords

weightPFAfree sequencefree setregular spaceHausdorff space

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Uses Software

• MathOverflow

Cites Work

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• Anti-Urysohn spaces
• Generalized side-conditions and Moore-Mrówka
• How large can a hereditarily separable or hereditarily Lindelöf space be?
• Large strongly anti-Urysohn spaces exist
• On the free set number of topological spaces and their \(G_\delta \)-modifications
• Forcing Positive Partition Relations
• On Compact Hausdorff Spaces of Countable Tightness

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