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Jan 13, 2017 at 5:17 comment added Michael Renardy Because $\{T(t)x: t\in [0,t_0]\}$ is compact and cannot be dense in a neighborhood of $x$. Therefore the orbit must visit any neighborhood of $x$ at times after $t_0$.
Jan 12, 2017 at 12:56 comment added Kelly P. Werner Why should exists such an $t_2>t_0$?
Jan 12, 2017 at 12:46 comment added Kelly P. Werner Thank you very much for this answer. Can this also be wrote down in the language of approximating sequences?
Jan 12, 2017 at 11:24 history answered Michael Renardy CC BY-SA 3.0