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Apr 4, 2013 at 21:27 comment added HNuer Got it, nice slick argument. Thanks
Apr 4, 2013 at 21:27 vote accept HNuer
Apr 4, 2013 at 21:19 comment added Angelo Yes, you are right, my explanation is incorrect. I edited the answer.
Apr 4, 2013 at 21:18 history edited Angelo CC BY-SA 3.0
added 204 characters in body
Apr 4, 2013 at 21:11 comment added HNuer So is your $U$ an open of $M$ or $S\times_{\mathfrak M} M$?
Apr 4, 2013 at 21:04 comment added Angelo The map from the fiber product onto $S$ is smooth, hence open
Apr 4, 2013 at 20:58 comment added HNuer How do you see the existence of the open subset $U$ of $M$ with the properties you claim?
Apr 4, 2013 at 20:51 history answered Angelo CC BY-SA 3.0