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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Apr 20, 2012 at 4:25 history edited GH from MO CC BY-SA 3.0
changed "dence" to "dense" at one instance
Apr 15, 2012 at 21:43 comment added Terry Tao At each stage, f_n is polynomial on some union of disjoint intervals. One picks a q = q_n outside of these intervals, then one can take I to be an interval around q which does not intersect any of the existing intervals. This way, f_{n+1} is polynomial on all the intervals that f_n was, plus an additional new interval containing q.
Apr 15, 2012 at 21:23 comment added Matthias Ludewig Can you clarify your construction? What interval I do you use the lemma for?
Apr 15, 2012 at 5:21 comment added Ben In fact,i create this question while think about the question mathoverflow.net/questions/34059/…. I proved the function $f$ locally a polynomial and wondered if I can use that property to solve that problem.
Apr 15, 2012 at 2:51 vote accept Ben
Apr 15, 2012 at 0:44 history answered Terry Tao CC BY-SA 3.0