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Erratum to "Locally unbounded topological fields with topological nilpotents" (Fund. Math. 173 (2002), 21-32)

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Marcos J.

Fundamenta Mathematicae

2003

tom 176

nr 1

95-96

Locally unbounded topological fields with topological nilpotents

100%

Marcos J.

Fundamenta Mathematicae

2002

tom 173

nr 1

21-32

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 field is a missing example in the classification of complete first countable fields given by Mutylin.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Marcos J.

1 2003

1 2002

Wyniki wyszukiwania

Erratum to "Locally unbounded topological fields with topological nilpotents" (Fund. Math. 173 (2002), 21-32)

Locally unbounded topological fields with topological nilpotents