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Oct 19, 2017 at 10:39 vote accept Yaakov Baruch
Oct 17, 2017 at 16:15 comment added Yaakov Baruch Ilya, you are right. I deleted now that first comment, which was my misunderstanding.
Oct 17, 2017 at 9:50 comment added Ilya Bogdanov I've expanded the part about obstructions; I also needed several cases to be treated separately --- but still, everything seems to work. (Sorry, I do not understand the first comment,,,)
Oct 17, 2017 at 9:49 history edited Ilya Bogdanov CC BY-SA 3.0
Description and analysis of obstructions are added.
S Oct 17, 2017 at 8:56 history suggested Yaakov Baruch CC BY-SA 3.0
Replaced $a$ with $b$ for readability ($a$ being visually very similar to $\alpha$).
Oct 17, 2017 at 6:33 comment added Yaakov Baruch I'm trying to understand what you mean by "less obstructions". For example one of the dozen or so obstructions is that $(U-x_{\alpha})\cap b(U-U)\subseteq \{0\}$ and once $U$ has grown beyond countable size, couldn't this potentially block all of the continuumly many choiches for $x_{\alpha}$?
Oct 17, 2017 at 3:26 review Suggested edits
S Oct 17, 2017 at 8:56
Oct 17, 2017 at 0:43 history answered Ilya Bogdanov CC BY-SA 3.0