complete valued field
C41931
concept
A complete valued field is a field equipped with an absolute value (or valuation) such that every Cauchy sequence with respect to the induced metric converges within the field.
All labels observed (1)
| Label | Occurrences |
|---|---|
| complete valued field canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: complete valued field
Generated description
A complete valued field is a field equipped with an absolute value (or valuation) such that every Cauchy sequence with respect to the induced metric converges within the field.
Instances (1)
| Instance | Via concept surface |
|---|---|
| p-adic numbers | — |