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Jan 7, 2016 at 1:38 history edited William CC BY-SA 3.0
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Jan 7, 2016 at 1:34 comment added William @tci You are right, a Sacks generic for $V$ may not be Sack's generic for $L$.
Jan 6, 2016 at 13:10 comment added user3462 Is it clear that $x$ would also be Sacks-generic over $L$? What if, say, $V$ itself is a Sacks-generic extension of $L$? I can't see why $x$ cannot code some extra information, enough to ensure that there are inner models of $L[x]$ which are not $L$.
Jan 5, 2016 at 21:32 comment added Todd Eisworth Does this work if the ground model is something other than L? Can Sacks forcing over a model of CH containing no L-Cohen reals add an L-Cohen real?
Jan 4, 2016 at 22:23 history edited William CC BY-SA 3.0
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Jan 4, 2016 at 22:21 comment added Asaf Karagila Link to the paper you mention by Geschke and Qickert: math.uni-hamburg.de/home/geschke/papers/OnSacks_main.pdf
Jan 4, 2016 at 22:15 history answered William CC BY-SA 3.0