Displaying similar documents to “A characterization of locally compact fields II”

Extending automorphisms to the rational fractions field.

Fernando Fernández Rodríguez, Agustín Llerena Achutegui (1991)

Extracta Mathematicae

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We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields...

On ruled fields

Jack Ohm (1989)

Journal de théorie des nombres de Bordeaux

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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.

p-adic Ascoli theorems.

Javier Martínez-Maurica, S. Navarro (1990)

Revista Matemática de la Universidad Complutense de Madrid

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The aim of this paper is the study of a certain class of compact-like sets within some spaces of continuous functions over non-Archimedean ground fields. As a result, some p-adic Ascoli theorems are obtained.