On valued, complete fields and their automorphisms (Q798371)
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scientific article; zbMATH DE number 3869474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On valued, complete fields and their automorphisms |
scientific article; zbMATH DE number 3869474 |
Statements
On valued, complete fields and their automorphisms (English)
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1986
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The following theorem is proved: 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.
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algebraically closed field
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completely valued field
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continuous automorphisms
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valuation topology
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countable neighbourhood bases
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0.93451625
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0.9309077
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0.9110147
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0.9103714
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0.90319455
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0.89545345
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0.8905084
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0.88821113
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