Timeline for A global implicit function theorem
Current License: CC BY-SA 3.0
5 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 12, 2012 at 8:30 | comment | added | user12400 | In case someone else comes across this. A motivation for why the second condition above is needed is of course given by considering the map $x \rightarrow e^{x}$. Obviously the derivative never vanishes, but $e^{x} = a$ has no solution for $a \leq 0$. | |
| Jan 8, 2012 at 7:37 | comment | added | user12400 | Why do you think they are purely local? The second condition, that the norm of f tends to infinity, does not appear in the usual inverse function theorem | |
| Jan 7, 2012 at 9:53 | comment | added | Deane Yang | Your questions are purely local in nature and therefore follow by the standard inverse function theorem. Voting to close. | |
| Jan 7, 2012 at 8:42 | history | asked | user12400 | CC BY-SA 3.0 |