Talk:Local field
From Encyclopedia of Mathematics
Revision as of 17:46, 20 December 2014 by Richard Pinch (talk | contribs) (The definition currently given here is incomplete)
Definition
The definition currently given here is incomplete: the reals and complexes are local fields, and need to be taken as such to make sense of the Hasse principle, for example. In addition, the description of local fields in finite characteristic is obscure. It would be better to define a local field as being complete and locally compact with respect to a valuation. Richard Pinch (talk) 18:46, 20 December 2014 (CET)
How to Cite This Entry:
Local field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Local_field&oldid=35754
Local field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Local_field&oldid=35754