Timeline for Using continuity + commutativity to define "limit"
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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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 |
added 44 characters in body
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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 |