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Graven Water  
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 More options Nov 9 2009, 1:54 am
Newsgroups: sci.math
From: p...@grex.org (Graven Water)
Date: Sun, 8 Nov 2009 20:54:20 -0500 (EST)
Local: Mon, Nov 9 2009 1:54 am
Subject: Re: algebra and analysis

Gerry Myerson <ge...@maths.mq.edi.ai.i2u4email> wrote:
> In article <20091107144604.A50513F...@grex.org>,
> p...@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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