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May 14, 2017 at 3:42 comment added JSCB @ fdeja, yes, that is reasonable.
May 13, 2017 at 16:30 comment added fedja What can be added is the independence of the limit (and of the set $S$ of admissible sequences) of any finite number of elements in the sequence. Will you accept such addition?
May 13, 2017 at 16:18 review Close votes
May 13, 2017 at 16:28
May 13, 2017 at 15:52 comment added Maxime Ramzi $S_0 = S$ and the projection onto the first term of the sequence work. Obviously it is not then unique, but it never is (for any $S_0$ and $i$, projection onto the $i$th term gives a function that commutes, by your definition of $\overline{f}$)
May 13, 2017 at 14:57 history edited JSCB CC BY-SA 3.0
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May 13, 2017 at 14:27 comment added JSCB @abx: good catch, seems that we need to add some restriction then
May 13, 2017 at 14:04 comment added abx $S_0=${constant sequences} works also...
May 13, 2017 at 13:34 history asked JSCB CC BY-SA 3.0