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Timeline for Preservation of properness

Current License: CC BY-SA 3.0

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Mar 13, 2015 at 2:35 vote accept Monroe Eskew
Mar 9, 2015 at 13:48 comment added Goldstern @TanmayInamdar Matti Rubin of course, not Rudin. Thank you for the correction. - I think it is plausible that any nontrivial $\sigma$-closed forcing can serve as a counterexample (assuming non-CH or at least that there is no dense set of size $\aleph_1$ below any condition - we need this assumption by Victoria Gitman's answer), but I have not thought about it much.
Mar 9, 2015 at 12:26 comment added user3462 @Goldstern I believe you mean Rubin+Shelah, 'Combinatorial properties on trees...'? Also, I'm not sure I understand the last sentence of your comment. Did either of you consider this claim (but find a counterexample/think it plausible but not dwell too much on it/am I misunderstanding completely)?
Mar 7, 2015 at 13:49 comment added Goldstern Literally a minute or two. (And I really mean "literally" in the literal sense.) I think that some of this time he spent deliberating whether a single forcing $P$ would be enough for him (or me), or whether he should go for a claim "all nontrivial $\sigma$-closed $P$..."
Mar 7, 2015 at 13:17 history edited Goldstern CC BY-SA 3.0
typos. Also clarified that the trees are increasing. Switched 1 and 0 in tree description - not that it matter.
Mar 6, 2015 at 22:41 comment added Asaf Karagila "It took him only a minute or so to come up with this answer." -- That long, huh? :-)
Mar 6, 2015 at 21:15 history edited Goldstern CC BY-SA 3.0
a few corrections /clarifications
Mar 6, 2015 at 20:59 history answered Goldstern CC BY-SA 3.0