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Apr 21, 2020 at 8:51 comment added ABIM There is this result: STONE-WEIERSTRASS THEOREMS FOR GROUP-VALUED FUNCTIONS: link.springer.com/content/pdf/10.1007/BF02772227.pdf
Apr 20, 2020 at 17:08 comment added Gael Meigniez The question is fuzzy; consider the case $d=1$. Do you mean uniform convergence of functions and all their derivates on compact subsets? In that case, the real-analytic diffeomorphisms are dense by Weierstrass.
Apr 19, 2020 at 17:33 history edited YCor CC BY-SA 4.0
fixed typo
Apr 19, 2020 at 16:06 comment added ABIM Yes exactly. But if no reasonable cirteria are availalbe in that setting, I'd settle with soemtihng weaker (though prefarably not).
Apr 19, 2020 at 15:56 comment added Ben McKay The fine topology?
Apr 19, 2020 at 15:49 history asked ABIM CC BY-SA 4.0