Timeline for Completions of $K(x)$
Current License: CC BY-SA 3.0
5 events
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May 2, 2017 at 8:23 | comment | added | KConrad | Here is an example to think about: completing $\mathbf Q(x)$ at $|\cdot|_{x^2+1}$ will be $\mathbf Q(i)((\pi))$ where $\pi = x^2+1$. This is analogous to completing a number field at a prime ideal with residue field degree greater than $1$. Completing $K(x)$ at $x-c$ gives you $K((x-c))$, so not interesting for your purposes. | |
May 2, 2017 at 5:40 | history | edited | YCor |
edited tags
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May 2, 2017 at 0:33 | history | edited | Todd Trimble |
completeness tag removed per meta discussion
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Nov 22, 2016 at 14:00 | history | edited | David Handelman | CC BY-SA 3.0 |
*different* is followed by *from*, not *than* (despite its use in UK); syntax, ...
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Nov 22, 2016 at 13:35 | history | asked | Chilote | CC BY-SA 3.0 |