Timeline for Convergence of the harmonic series in larger fields
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 18, 2011 at 20:52 | vote | accept | Asaf Karagila♦ | ||
| Sep 15, 2010 at 5:37 | comment | added | Pete L. Clark | @AK: Yes, I believe so. (This is not really my area of core expertise.) See for instance emis.de/proceedings/TopoSym2001/20.pdf | |
| Sep 15, 2010 at 4:07 | comment | added | Asaf Karagila♦ | @Pete: So there are no real closed fields which are Dedekind-closed except the real numbers? | |
| Sep 15, 2010 at 3:57 | comment | added | Pete L. Clark | @AK: I think he means that the order is "bounded complete": every set which is bounded above has a least upper bound. | |
| Sep 15, 2010 at 3:47 | comment | added | Asaf Karagila♦ | When you say complete, do you mean metrically? Because that'd be obvious since we define metrics using the reals. Or do you mean in the sense that it is a complete order (i.e. all the Dedekind cuts are realized)? | |
| Sep 15, 2010 at 3:37 | history | answered | Richard Borcherds | CC BY-SA 2.5 |