non-Archimedean field
C41932
concept
A non-Archimedean field is a field equipped with an absolute value or valuation that satisfies the ultrametric (strong triangle) inequality, making all sufficiently small elements infinitesimally small compared to 1 and violating the Archimedean property.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| real-closed field | 1 |
Instances (2)
| Instance | Via concept surface |
|---|---|
| p-adic numbers | — |
| Levi-Civita field | — |