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Newsgroups: sci.math
From: Gerry Myerson <ge...@maths.mq.edi.ai.i2u4email>
Date: Mon, 09 Nov 2009 16:38:05 +1100
Local: Mon, Nov 9 2009 5:38 am
Subject: Re: algebra and analysis
In article <20091109015420.3E66A3F...@grex.org>,
p...@grex.org (Graven Water) wrote: > Gerry Myerson <ge...@maths.mq.edi.ai.i2u4email> wrote: I wish you wouldn't say "algebraically complete" when the standard term > > 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, > When you complete the metric, is the resulting space also algebraically is "algebraically closed," but, yes, when you form the metric completion of the algebraic closure of the p-adic completion of the rationals, what you get is algebraically closed. As for what properties you get, I refer you to Koblitz. -- You must Sign in before you can post messages.
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