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Jul 9, 2014 at 20:14 comment added Jason Starr @TimoKeller: Yes, I think you need uncountability for all of the arguments in that paper (unfortunately).
Jul 7, 2014 at 18:18 comment added user19475 Do we need it for Lemma 5.1, 5.2 and 5.3; and Theorem 1.2(ii)?
Jul 7, 2014 at 17:52 comment added Jason Starr @TimoKeller For the counterexample, I think there are no problems with $k$ being countable. However, you are quite correct that, in the last paragraph, "sufficiently general" almost certainly does require that $k$ is uncountable.
Jul 7, 2014 at 13:19 comment added user19475 Are there problems as $k$ is not uncountable?
S Jul 7, 2014 at 12:14 history answered Jason Starr CC BY-SA 3.0
S Jul 7, 2014 at 12:14 history made wiki Post Made Community Wiki by Jason Starr