= Place of a number field
= Places of a number field
{synonym}
A place of a <number field> $K$ is an equivalence class of <absolute values on a field>. Its Archimedean places come from real embeddings and conjugate pairs of complex embeddings. Its non-Archimedean places correspond to nonzero prime ideals of the <ring of integers of a number field>.
Equivalence is taken among <absolute values on a field>, so changing a representative within one place does not change the associated topology.
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