Axiom of determinacy: Difference between revisions
Jump to navigation
Jump to search
Content added Content deleted
(Small cardinals under AD) |
No edit summary |
||
Line 8: | Line 8: | ||
Assuming AD, \(\aleph_1\) and \(\aleph_2\) are [[Measurable cardinal|measurable]], \(\aleph_n\) is singular for all \(2<n<\omega\), and \(\aleph_{\omega+1}\) is measurable.<ref>T. Jech, "About the Axiom of Choice". In ''Handbook of Mathematical Logic'', Studies in Logic and the Foundations of mathematical vol. 90, ed. J. Barwise (1977)</ref><sup>p. 369</sup> |
Assuming AD, \(\aleph_1\) and \(\aleph_2\) are [[Measurable cardinal|measurable]], \(\aleph_n\) is singular for all \(2<n<\omega\), and \(\aleph_{\omega+1}\) is measurable.<ref>T. Jech, "About the Axiom of Choice". In ''Handbook of Mathematical Logic'', Studies in Logic and the Foundations of mathematical vol. 90, ed. J. Barwise (1977)</ref><sup>p. 369</sup> |
||
==References== |
|||
<reflist /> |