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Re: algebra and analysis
Posted:
Nov 8, 2009 8:54 PM
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Gerry Myerson <gerry@maths.mq.edi.ai.i2u4email> wrote:
> In article <20091107144604.A50513FB0C@grex.org>,
> pbbl@grex.org (Graven Water) wrote:
>> Is something similar true for p-adic analysis - does analysis over the
>> algebraic completion of the p-adics have nice theorems? if you could
>> define a metric on the algebraic completion?
>
> You can define such a metric, and then you can complete the metric,
> and on that space, yes, people do analysis. Koblitz has written
> a couple of helpful books on the topic.
When you complete the metric, is the resulting space also algebraically
complete? And do you get a lot of nice properties that aren't true for
analytic functions on the p-adics?
thanks,
Laura
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