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A nondiscrete locally compact Hausdorff topological field.
Under this broad definition, and are archimedean local fields. “Non-archimedean local field” excludes them and is often the intended arithmetic convention.
wp-local-fieldnlab-local-fieldmilne-algebraic-number-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Require the topology to be locally compact, Hausdorff, and nondiscrete.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
nlab-local-fieldmilne-algebraic-number-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Restrict to finite extensions of .
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-p-adic-fieldnlab-p-adic-fieldmilne-algebraic-number-theory