Displaying similar documents to “Erratum to 'Locally unbounded topological fields with topological nilpotents' (Fund. Math. 173 (2002), 21-32)”

Alexandroff One Point Compactification

Czesław Byliński (2007)

Formalized Mathematics

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In the article, I introduce the notions of the compactification of topological spaces and the Alexandroff one point compactification. Some properties of the locally compact spaces and one point compactification are proved.

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...