Vincent Delecroix a écrit :

> This is clearly what we want. If you have an operation involving
> several real numbers with different precisions then you want that the
> result has the least precision.

And in analogous situations where each precision corresponds to a well-
defined ring, the idea that the result should live in the ring with the 
lowest precision agrees with the definition in terms of homomorphisms.
For instance, K[[x]] is the projective limit of K[[x]]/x^n, n \in N.

-- 
Marc

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