Inaccessible cardinals without the axiom of choice

• Autorzy: Andreas Blass , Ioanna M. Dimitriou , Benedikt Löwe
• Języki publikacji: EN

Abstrakty

EN

We consider four notions of strong inaccessibility that are equivalent in ZFC and show that they are not equivalent in ZF.

Kategorie tematyczne

• 03E55: Large cardinals
• 03E25: Axiom of choice and related propositions
• 03E10: Ordinal and cardinal numbers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 194
• Numer: 2
• Strony: 179-189

Daty

wydano

2007

Twórcy

autor

Andreas Blass

• Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, U.S.A.

autor

Ioanna M. Dimitriou

• Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany

autor

Benedikt Löwe

• Institute for Logic, Language and Computation, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
• Department Mathematik, Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany

Identyfikatory

DOI

10.4064/fm194-2-3