Timeline for Two commuting mappings in the disk
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| May 31, 2015 at 11:34 | history | rollback | Ricardo Andrade |
Rollback to Revision 4
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| S May 31, 2015 at 3:10 | history | suggested | BigM | CC BY-SA 3.0 |
Corrections
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| May 31, 2015 at 2:07 | review | Suggested edits | |||
| S May 31, 2015 at 3:10 | |||||
| Mar 20, 2015 at 19:41 | answer | added | Jeff Norden | timeline score: 12 | |
| Jan 10, 2014 at 20:14 | comment | added | Benoît Kloeckner | A paper of Christian Bonatti is vaguely related: "Un point fixe commun pour des difféomorphismes commutants de S^2", Annals of Maths 1989. | |
| Jul 20, 2013 at 21:41 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
corrected minor grammatical mistake
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| Jul 20, 2013 at 20:11 | history | edited | user9072 | CC BY-SA 3.0 |
fixed spelling of Brouwer
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| May 14, 2013 at 10:30 | answer | added | Daniele Zuddas | timeline score: 4 | |
| Apr 26, 2012 at 18:30 | answer | added | Misha | timeline score: 25 | |
| Mar 31, 2011 at 14:28 | comment | added | Denis Serre | If I understand well, you don't ask whether $f$ and $g$ have a common fixed point. Yet, the answers given so far speak of fixed points ... | |
| Jul 14, 2010 at 15:53 | answer | added | Joseph O'Rourke | timeline score: 13 | |
| Jun 13, 2010 at 7:55 | answer | added | Andrey Gogolev | timeline score: 5 | |
| Jun 4, 2010 at 6:14 | answer | added | Mark | timeline score: 20 | |
| Nov 25, 2009 at 1:10 | history | edited | Greg Kuperberg |
edited tags
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| Nov 19, 2009 at 13:51 | answer | added | Gerald Edgar | timeline score: 4 | |
| Nov 6, 2009 at 12:55 | answer | added | Jose Capco | timeline score: 1 | |
| Oct 30, 2009 at 18:02 | comment | added | Harald Hanche-Olsen | Ah, indeed: Jachymski refers to an abstract in an old Notices. But searching MR reveals J.P. Huneke: On common fixed points of commuting continuous functions on an interval. Trans. Amer. Math. Soc. 139 1969 371--381. See jstor.org/stable/1995330 if you have JSTOR access. From the abstract: “This paper offers two methods of constructing commuting pairs of continuous functions [...] which map [0,1] to itself without common fixed points”. Jachymski also notes that if the iterates of one function forms an equicontinuous family, there is a common fixed point. | |
| Oct 30, 2009 at 16:58 | comment | added | Alon Amit | Apparently f and g may not have a common fixed point even in the dimension 1 case. This is mentioned in the first paragraph of "Equivalent Conditions involving Common Fixed Points in the Unit Interval" by Jachymski. Unfortunately I can't follow the reference given. @fedja, what an amazing problem! | |
| Oct 29, 2009 at 23:35 | comment | added | Harald Hanche-Olsen | Could more be true? Would f and g necessarily have a common fixed point? This might perhaps be easier to prove if true. | |
| Oct 29, 2009 at 20:16 | history | asked | fedja | CC BY-SA 2.5 |