Inaccessible cardinals without the axiom of choice
Volume 194 / 2007
Fundamenta Mathematicae 194 (2007), 179-189
MSC: Primary 03E10, 03E25; Secondary 03E55.
DOI: 10.4064/fm194-2-3
Abstract
We consider four notions of strong inaccessibility that are equivalent in $\mathsf {ZFC}$ and show that they are not equivalent in $\mathsf{ZF}$.
