Vol. 121, No. 2, 1986

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On valued, complete fields and their automorphisms

Hans Keller

Vol. 121 (1986), No. 2, 397–406
Abstract

The following theorem is proved:

Theorem. Let K be a valued, complete field, and assume that the valuation topology admits countable neighbourhood bases. All the automorphisms of K are continuous if and only if K is not algebraically closed.

Mathematical Subject Classification 2000
Primary: 12J10
Milestones
Received: 9 July 1984
Published: 1 February 1986
Authors
Hans Keller