local field

Examples of local fields include:

In fact, this list is completePlanetmathPlanetmath—every local field is isomorphic as a topological field to one of the above fields.

1 Acknowledgements

This document is dedicated to those who made it all the way through Serre’s book [1] before realizing that nowhere within the book is there a definition of the term “local field.”


  • 1 Jean–Pierre Serre, Local Fields, Springer–Verlag, 1979 (GTM 67).
Title local field
Canonical name LocalField
Date of creation 2013-03-22 12:48:07
Last modified on 2013-03-22 12:48:07
Owner djao (24)
Last modified by djao (24)
Numerical id 7
Author djao (24)
Entry type Definition
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Classification msc 12J99
Classification msc 11S99