Independent families and some notions of finiteness

DOI10.1007/S00153-022-00858-YzbMath1528.03204OpenAlexW4311497620MaRDI QIDQ6103507

Kyriakos Keremedis, Eric J. Hall

Publication date: 5 June 2023

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

Full work available at URL: https://doi.org/10.1007/s00153-022-00858-y

zbMATH Keywords

axiom of choiceweak axioms of choiceBoolean prime ideal theoremHewitt-Marczewski-Pondiczery theoremnotions of finitenessFichtenholz-Kantorovich-Hausdorff theorem

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Axiom of choice and related propositions (03E25)

Cites Work

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• The independence of various definitions of finiteness
• Classes of Dedekind finite cardinals
• Adding dependent choice
• Finiteness and choice
• The independence of the ordering principle from a restricted axiom of choice
• The axiom of choice

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