Well ordered subsets of linearly ordered sets

DOI10.1305/ndjfl/1040511347zbMath0827.03029OpenAlexW1972055552MaRDI QIDQ1893142

Paul E. Howard, Hartmut F. W. Hoeft

Publication date: 3 July 1995

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1040511347

zbMATH Keywords

linear ordersfixed point propertyLFCwell-orderingDSFraenkel-Mostowski permutation modelshierarchy of weak choice principlesCF

Mathematics Subject Classification ID

Total orders (06A05) Axiom of choice and related propositions (03E25)

Related Items

On the minimal cover property and certain notions of finite, On some open problems about \(P\)-spaces, strongly quasi Baire spaces and choice, On \(P\)-spaces and \(G_{\delta}\)-sets in the absence of the axiom of choice, Unnamed Item, On the existence of almost disjoint and MAD families without $\mathsf {AC}$

Cites Work

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• Set theory. An introduction to independence proofs
• A characterization of complete lattices
• Definitions of finite
• A Class of ‘Near‐Finite’ Order‐Types
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• The axiom of choice