Displaying similar documents to “Corrections to the papers 'An example of a locally unbounded complete extension of the p-adic number field'' and 'On topological fields'' (Colloquium Mathematicum 30 (1974), p. 105--108, and 29 (1974), p. 119--146)”

Locally unbounded topological fields with topological nilpotents

J. E. Marcos (2002)

Fundamenta Mathematicae

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We construct some locally unbounded topological fields having topologically nilpotent elements; this answers a question of Heine. The underlying fields are subfields of fields of formal power series. In particular, we get a locally unbounded topological field for which the set of topologically nilpotent elements is an open additive subgroup. We also exhibit a complete locally unbounded topological field which is a topological extension of the field of p-adic numbers; this topological...