Timeline for Natural topologies for the space of rational functions
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 20, 2015 at 1:13 | comment | added | Gerald Edgar | It seems in this topology, you cannot change the degree when you converge. Constants can converge to constants. Degree one maps (like $z/(z-1/n)$) cannot converge to a constant (like $1$). | |
| Jul 19, 2015 at 20:52 | comment | added | Alexandre Eremenko | The difficulty is that in this topology $z/(z-1/n)$ has no limit when $n\to\infty$. | |
| Jul 19, 2015 at 13:15 | comment | added | Joe Silverman | @GeraldEdgar It wasn't Arnold that made that remark. (Not that it matters.) | |
| Jul 19, 2015 at 13:09 | history | edited | Gerald Edgar | CC BY-SA 3.0 |
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| Jul 19, 2015 at 12:58 | comment | added | Arnold Neumaier | What would be the distance of two functions of the form $r(z):=a/(b−z)$? | |
| Jul 19, 2015 at 12:30 | history | answered | Gerald Edgar | CC BY-SA 3.0 |