Timeline for Is $Ded(\kappa)<Ded(\kappa)^\omega$ consistent?
Current License: CC BY-SA 3.0
13 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 15, 2012 at 12:47 | vote | accept | Ioannis Souldatos | ||
| May 15, 2012 at 12:46 | vote | accept | Ioannis Souldatos | ||
| May 15, 2012 at 12:46 | |||||
| May 15, 2012 at 12:46 | vote | accept | Ioannis Souldatos | ||
| May 15, 2012 at 12:46 | |||||
| May 15, 2012 at 12:45 | answer | added | Ioannis Souldatos | timeline score: 4 | |
| Nov 21, 2011 at 15:45 | answer | added | mmm | timeline score: 0 | |
| Aug 8, 2011 at 14:14 | comment | added | Ioannis Souldatos | ...The paper SIX CLASSES OF THEORIES is where the question "Is $Ded(\kappa)<Ded(\kappa)^\omega$ consistent?" appears. | |
| Aug 8, 2011 at 14:13 | comment | added | Ioannis Souldatos | Good point. $Ded(\kappa)<Ded(\kappa)^\omega$ can be consistent only if $\kappa<\kappa^\omega<Ded(\kappa)<2^\kappa$. This is remarked by Keisler in SIX CLASSES OF THEORIES, J. Austral. Math. Soc. 21 (Series A) (1976), 257-266. He attributes the proof to Kunen, but I didn't find a reference. (To obtain the article follow the link: journals.cambridge.org/… ) This is where the question | |
| Aug 6, 2011 at 1:23 | comment | added | Artem Chernikov | Perhaps you could add to the list of known things that if $\kappa=\kappa^{\omega}$, then $Ded(\kappa)=Ded(\kappa)^{\omega}$. This is an observation of Kunen mentioned in the paper of Keisler. | |
| Aug 5, 2011 at 13:32 | vote | accept | Ioannis Souldatos | ||
| Aug 5, 2011 at 13:33 | |||||
| Aug 5, 2011 at 6:25 | comment | added | David Milovich | My answer to (1) was fatally flawed, so please un-accept my answer, which I think should be deleted. Andy Voellmer's comment about (2) is still correct though: you can force $2^\omega=2^\kappa=\kappa^+$ (with GCH in the ground model) to show that (2) is consistently true. | |
| Aug 4, 2011 at 21:34 | vote | accept | Ioannis Souldatos | ||
| Aug 5, 2011 at 13:26 | |||||
| Aug 4, 2011 at 17:12 | history | asked | Ioannis Souldatos | CC BY-SA 3.0 |