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Jan 17, 2015 at 23:43 comment added Alejandro @AliTaghavi the above convergence is in the $C^\infty$-topology and that implies it also converges in the $C^0$-topology.
Jan 17, 2015 at 7:56 comment added Ali Taghavi Thanks again for your very interesting answer. I am sorry that I can not accept two answers:) meta.mathoverflow.net/questions/1491/…
Jan 15, 2015 at 13:49 comment added Ali Taghavi In the other words, is the "composition" a continuous map(not separately but strongly in its two variables)?(In C^0 or C^k topology?)
Jan 15, 2015 at 13:31 comment added Ali Taghavi could you please more explain on $$h_n^{-1}\circ R_{t_n+\epsilon_n}\circ h_n\to g, \quad \text{in the } C^\infty\text{-topology}.$$
Jan 15, 2015 at 13:19 comment added Ali Taghavi thank you very much for your interesting answer. What do you think about the first part?
Jan 14, 2015 at 19:47 history answered Alejandro CC BY-SA 3.0