The topological completion of a Field with respect to the Absolute Value is the smallest Field containing for which all Cauchy Sequences or rationals converge.

**References**

Burger, E. B. and Struppeck, T. ``Does
Really Converge? Infinite Series and
-adic Analysis.'' *Amer. Math. Monthly* **103**, 565-577, 1996.

© 1996-9

1999-05-26