Rings of continuous functions with values in a non-archimedean ordered field

G. De Marco; M. Richter

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Displaying similar documents to “Rings of continuous functions with values in a non-archimedean ordered field”

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An ordered field is a field which has a linear order and the order topology by this order. For a subfield $F$ of an ordered field, we give characterizations for $F$ to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on $F$ .

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An uncountable partition contained in the atomless σ-field

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