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Topic: What is the intuitive meaning of "non-Archimedean" for a valued field?
Replies: 11   Last Post: May 15, 2013 4:29 PM

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Brian Q. Hutchings

Posts: 5,922
Registered: 12/6/04
Re: archmimedean valuation is infinity-adic numbering
Posted: May 15, 2013 4:29 PM
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of course, the natural base for infinity-adics would
be base-infinity, each symbol is isometrically isomorphic
to an integer;
you'd need "subtraction & addition tables!"

> they are not useful for valuations, but
> only for eliminating classes of congruences,
> mod p, a prime.





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