Geodesic
The algebraic closure of a $p$-adic number field is a complete topological field
Mathematica slovaca, Tome 56 (2006) no. 3, pp. 317-331.

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Classification : 12J99 
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     title = {The algebraic closure of a $p$-adic number field is a complete topological field},
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Marcos, José E. The algebraic closure of a $p$-adic number field is a complete topological field. Mathematica slovaca, Tome 56 (2006) no. 3, pp. 317-331. http://geodesic.mathdoc.fr/item/MASLO_2006__56_3_a6/