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Topological Completion


The topological completion C of a field F with respect to the absolute value |·| is the smallest field containing F for which all Cauchy sequences or rationals converge.


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References

Burger, E. B. and Struppeck, T. "Does sum_(n=0)^(infty)1/(n!) Really Converge? Infinite Series and p-adic Analysis." Amer. Math. Monthly 103, 565-577, 1996.

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Topological Completion

Cite this as:

Weisstein, Eric W. "Topological Completion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicalCompletion.html

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