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.
Topological Completion
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References
Burger, E. B. and Struppeck, T. "Does Really Converge? Infinite Series and -adic Analysis." Amer. Math. Monthly 103, 565-577, 1996.Referenced on Wolfram|Alpha
Topological CompletionCite this as:
Weisstein, Eric W. "Topological Completion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicalCompletion.html