# Locally unbounded topological fields with topological nilpotents

Fundamenta Mathematicae (2002)

- Volume: 173, Issue: 1, page 21-32
- ISSN: 0016-2736

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topJ. E. Marcos. "Locally unbounded topological fields with topological nilpotents." Fundamenta Mathematicae 173.1 (2002): 21-32. <http://eudml.org/doc/283133>.

@article{J2002,

abstract = {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.},

author = {J. E. Marcos},

journal = {Fundamenta Mathematicae},

language = {eng},

number = {1},

pages = {21-32},

title = {Locally unbounded topological fields with topological nilpotents},

url = {http://eudml.org/doc/283133},

volume = {173},

year = {2002},

}

TY - JOUR

AU - J. E. Marcos

TI - Locally unbounded topological fields with topological nilpotents

JO - Fundamenta Mathematicae

PY - 2002

VL - 173

IS - 1

SP - 21

EP - 32

AB - 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.

LA - eng

UR - http://eudml.org/doc/283133

ER -

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