Geodesic
Inaccessible cardinals without the axiom of choice
Andreas Blass1 ; Ioanna M. Dimitriou2 ; Benedikt Löwe3
1 Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043, U.S.A.
2 Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Beringstrasse 1 53115 Bonn, Germany
3 Institute for Logic, Language and Computation Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands and Department Mathematik Universität Hamburg Bundesstrasse 55 20146 Hamburg, Germany
Fundamenta Mathematicae, Tome 194 (2007) no. 2, pp. 179-189 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider four notions of strong inaccessibility that are equivalent in $\mathsf {ZFC}$ and show that they are not equivalent in $\mathsf{ZF}$.
DOI : 10.4064/fm194-2-3
Keywords: consider notions strong inaccessibility equivalent mathsf zfc equivalent mathsf

Andreas Blass 1 ; Ioanna M. Dimitriou 2 ; Benedikt Löwe 3

1 Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043, U.S.A.
2 Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Beringstrasse 1 53115 Bonn, Germany
3 Institute for Logic, Language and Computation Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands and Department Mathematik Universität Hamburg Bundesstrasse 55 20146 Hamburg, Germany 
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Andreas Blass; Ioanna M. Dimitriou; Benedikt Löwe. Inaccessible cardinals without the axiom of choice. Fundamenta Mathematicae, Tome 194 (2007) no. 2, pp. 179-189. doi: 10.4064/fm194-2-3

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