Timeline for Axiom of choice and the equality between second-order constructible universe and HOD
Current License: CC BY-SA 3.0
8 events
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Feb 22, 2015 at 19:23 | comment | added | Asaf Karagila♦ | Mohammad, thanks for the reference! I've looked it up. It's a nice idea which sort of combines both mine and Joel's comments. | |
Feb 20, 2015 at 15:42 | history | edited | Mohammad Golshani | CC BY-SA 3.0 |
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Feb 20, 2015 at 15:33 | vote | accept | Hanul Jeon | ||
Feb 20, 2015 at 15:21 | comment | added | Asaf Karagila♦ | @Joel: I would actually expect something slightly more clever than that. For example force over Cohen's first model in a way which doesn't add sets of ordinals, but encodes one of the generic reals into $\sf HOD$. But I'd much rather see the paper first. | |
Feb 20, 2015 at 15:18 | comment | added | Asaf Karagila♦ | Do you have a reference for the paper? | |
Feb 20, 2015 at 14:11 | history | edited | Mohammad Golshani | CC BY-SA 3.0 |
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Feb 20, 2015 at 13:54 | comment | added | Joel David Hamkins | Could you say something about the proof? I imagine some kind of higher symmetric inner model of a model where $\text{HOD}^{\text{HOD}}\neq\text{HOD}$. For example, add a Cohen real, and then code it into the GCH pattern, but take a symmetric inner model of that model. So the idea is that the Cohen real will be in $\text{HOD}$, but not in $L_{SO}$. | |
Feb 20, 2015 at 13:14 | history | answered | Mohammad Golshani | CC BY-SA 3.0 |