Generalizing Hartogs' Trichotomy Theorem

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dc.creatorFeldman, David
dc.creatorOrhon, Mehmet
dc.creatorBlass, Andreas
dc.date2008-04-04
dc.date.accessioned2026-07-07T09:30:26Z
dc.date.available2026-07-07T09:30:26Z
dc.descriptionA celebrated argument of F. Hartogs (1915) deduces the Axiom of Choice from the hypothesis of comparability for any pair of cardinals. We show how each of a sequence of seemingly much weaker hypotheses suffices. Fixing a finite number $k>1$, the Axiom of Choice follows if merely any family of $k$ cardinals contains at least one comparable pair.
dc.description8 pages with an appendix by Andreas Blass
dc.identifierhttps://arxiv.org/abs/0804.0673
dc.identifierhttp://arxiv.org/abs/0804.0673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158121
dc.subjectLogic
dc.subject03E25
dc.titleGeneralizing Hartogs' Trichotomy Theorem
dc.typetext

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