Timeline for Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?
Current License: CC BY-SA 2.5
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| Nov 30, 2009 at 19:27 | comment | added | Kevin Buzzard | A similar result does hold for $p$th powers in $\ell$-adic fields (hint: use exp and log to analyse a neighbourhood of $1$ in $k^\times$ and relate it to a neighbourhood of $0$ in $k$) but it doesn't answer the question somehow, because it's not the size of the quotient that is the obstruction, it's the size of the cosets, all of which are infinite if $k$ is. | |
| Nov 30, 2009 at 14:16 | history | edited | user1884 | CC BY-SA 2.5 |
added 46 characters in body; added 20 characters in body; edited body
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| Nov 30, 2009 at 14:09 | history | undeleted | user1884 | ||
| Nov 30, 2009 at 14:08 | history | deleted | user1884 | ||
| Nov 30, 2009 at 14:06 | history | answered | user1884 | CC BY-SA 2.5 |