Locally unbounded topological fields with topological nilpotents

• Autorzy: J. E. Marcos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12J99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 173
• Numer: 1
• Strony: 21-32

Daty

wydano

2002

Twórcy

autor

J. E. Marcos

• Departamento Algebra y Geometría, Facultad de Ciencias, 47005 Valladolid, Spain

Identyfikatory

DOI

10.4064/fm173-1-2